1. Field of the Invention
The present invention relates to an image forming apparatus, particularly to the image forming apparatus having a process, in which an unfixed image is transferred with toner to a sheet such as paper in transfer means and then the sheet is conveyed to fixing means to fix the unfixed image.
2. Description of the Related Art
Conventionally, in the image forming apparatus which forms an image with a developer including toner, a latent image is formed on a photosensitive member, the latent image is developed with the toner to transfer the developed image to a, sheet (recording material), and then the image is formed by heating and pressurizing the transferred image with a fixing device. Examples of the image forming apparatus which obtains a color image with the pieces of toner having plural colors include the image forming apparatus in which a color toner image primary-transferred to an intermediate transfer member in a superposing manner is collectively secondary-transferred to the sheet and the image forming apparatus in which each color toner image is sequentially transferred to the sheet in the superposing manner.
The sheet 100 to which the toner image is transferred is conveyed to a heating and fixing device 36 which is an example of the fixing means, and the image is fixed by applying heat and pressure with a fixing roller 44 and a pressure roller 45. A guide member 43 and a charge removal needle 42 are arranged between a transfer nip portion (pressure contact point of intermediate transfer belt 35 and transfer roller 39) and a fixing nip portion (pressure contact point of fixing roller 44 and pressure roller 45). The guide member 43 guides the sheet 100 to the fixing nip portion, and the charge removal needle 42 which is an example of an electrode member removes a charge on the charged sheet 100.
As shown in
However, in the image forming apparatus shown in
An object of the invention is to stabilize the distance between the sheet and the electrode member to prevent the generation of the image defect in the image forming apparatus, in which the electrode member is provided in the downstream side of the transfer means, the transfer means and the fixing means are arranged while brought close to each other, and the sheet is sandwiched by the fixing means while sandwiched and conveyed by the image bearing member and the transfer means.
Another object of the invention is to provide an image forming apparatus including an image forming apparatus including an image bearing member which bears a toner image; transfer means which forms a transfer nip portion while being in contact with the image bearing member, which sandwiches and conveys a recording material with the image bearing member in the transfer nip portion, which transfers the toner image to the recording material; fixing means in which the recording material is sandwiched and conveyed in a fixing nip portion where a first fixing member and a second fixing member are in contact with each other, the fixing means which fixes the toner image to the recording material; and an electrode member which is provided between the transfer means and the fixing means, wherein the recording material is sandwiched and conveyed by the fixing means while sandwiched and conveyed by the transfer means, a length d (mm) of a shortest straight line connecting a center of the transfer nip portion and a center of the fixing nip portion in a direction in which the recording material is conveyed satisfies 0 (mm)<d<=80 (mm), and wherein assuming that an angle formed by the shortest straight line and a tangent being in contact with the transfer means in the center of the transfer nip portion is φ (rad), a distance between the center of the transfer nip portion and a position nearest to the recording material of the electrode member is j (mm) in the direction parallel to the tangent being in contact with the transfer means, a maximum length of the recording material is P (mm) in the direction in which the recording material is conveyed, a speed at which the recording material is conveyed by the transfer means is V (mm/sec), and a maximum speed difference generated between the speed V (mm/sec) and a speed at which the recording material is conveyed by the fixing means is ΔV (mm/sec), the angle φ satisfies 0<j×ABS(φ−ACOS(d/(d/COS φ+(P−d/COS φ)×ΔV/V)))<=1 (mm), where ABS is a function which determines an absolute value and ACOS is an inverse function of COS.
In the present invention, assuming that the length of the shortest straight line connecting the center of the transfer nip portion and the center of the fixing nip portion is d (mm), the angle formed by the shortest straight line and the tangent being in contact with the transfer means in the center of the transfer nip portion is φ (rad), the distance between the center of the transfer nip portion and the position nearest to the recording material of the electrode member is j (mm) in the direction parallel to the tangent being in contact with the transfer means, the maximum length of the recording material is P (mm) in the direction in which the recording material is conveyed, the speed at which the recording material is conveyed by the transfer means is V (mm/sec), and the maximum value of the speed difference generated between the speed V (mm/sec) and the speed at which the recording material is conveyed by the fixing means is ΔV (mm/sec), the image defect caused by the change in distance between the charge removal needle and the sheet can be prevented by satisfying
0<j×ABS(φ−ACOS(d/(d/COS φ+(P−d/COS φ)×ΔV/V)))<=1 (mm),
where ABS is a function which determines an absolute value and ACOS is an inverse function of COS.
In the sheet which is sandwiched and conveyed by the two of upstream and downstream roller pairs, when the conveyance speeds of the upstream and downstream roller pairs are completely equal to each other, the sheet is conveyed while an initial loop amount is kept. However, when a speed difference exists between the upstream and downstream roller pairs, the loop amount is changed every moment. That is, as shown in
When the loop amount is changed, a gap g between the sheet 100 and a charge removal needle 42, that is, the gap g the sheet 100 and a position (hereinafter referred to as “charge removal needle point”) Y nearest to the sheet 100 of the charge removal needle 42 is changed. Because charge removal performance of the charge removal needle 42 largely depends on a distance to a subject, a charge removal state is also changes when the gap g is changed, which causes the problem that various image defects are generated. When a change amount Δg of gap g between the charge removal needle 42 and the sheet 100 exceeds 1 mm, the defects on the image become conspicuous.
The gap change amount Δg between the charge removal needle 42 and the sheet 100 will be described by mathematization based on the model of
The sheet 100 conveyed from the transfer nip portion is first discharged toward a transfer nip portion direction (a tangent direction of the center T of the transfer nip portion and a direction perpendicular to a line connecting the centers of the transfer roller 39 and the transfer opposing roller 38). Accordingly, assuming that an angle (hereinafter referred to as “transfer nip portion angle”) formed by the tangent of the center of the transfer nip portion and the shortest straight line between a center T of the transfer nip portion and a center F of the fixing nip portion is φ (rad), an isosceles angle becomes φ (rad) in the initial loop amount.
On the other hand, when the difference in conveyance speed of the recording material exists between the transfer means and the fixing means, the loop amount is changed to become, e.g., the shape shown by a chain double-dashed line of
The change amount Δg of gap between the charge removal needle point Y and the sheet 100, which causes the image defect, is given by the following expression (1):
Δg=ABS(g′−g) (1)
where ABS is a function which determines an absolute value.
The post-change gap amount g′ is expressed by the distance j (mm) between the charge removal needle and the center of the transfer nip portion, φ, and φ′ to obtain the following expression (2) (approximation due to a micro angle):
g′=g+j×(φ−φ′) (2)
When the expression (2) is substituted into the expression (1), the expression (3) is obtained:
Δg=j×ABS(φ−φ′) (3)
The loop amount change shown in
COS φ=d/L (4)
COS φ′=d/L′ (5)
On the other hand, L′ is given by the following expression (6):
L′=L+ΔL (6)
where ΔL (mm) is a change amount of L.
ΔL is expressed by the following expression (7):
ΔL=ΔV×T (7)
where ΔV (mm/sec) is the difference in conveyance speed between the fixing means and the transfer means and V (sec) is the conveyance time at which the sheet 100 is sandwiched and conveyed by both the transfer nip portion and the fixing nip portion.
At this point, a conveyance time T is given by the following expression (8):
T=(P−L)/V (8)
where P (mm) is the length of the conveyed sheet, V (mm/sec) is the conveyance speed of the transfer unit, and L (mm) is the initial loop length. The initial loop length L is the sheet length in which the sheet is conveyed only by the transfer unit before the sheet is sandwiched by both the transfer means and the fixing means, and T is the time when the length of the remain part P-L is conveyed at speed V.
When the expression (4) is deformed, the following expression (9) is obtained:
L=d/COS φ (9)
Then, the expression (9) is substituted into the expression (8), the following expression (10) is obtained:
T=(P−d/COS φ)/V (10)
When the expression (10) is substituted into the expression (7), the following expression (11) is obtained:
ΔL=ΔV×(P−d/COS φ)/V (11)
When the expressions (9) and (11) are substituted into the expression (6), the following expression (12) is obtained:
L′=d/COS φ+(P−d/COS φ)×ΔV/V (12)
When the expression (12) is substituted into the expression (5), the following expression (13) is obtained:
COS φ′=d/(d/COS φ+(P−d/COS φ)×ΔV/V)) (13)
When an inverse function of COS is designated by ACOS, the expression (13) is shown as follows:
φ′=ACOS(d/(d/COS φ+(P−d/COS φ)×ΔV/V)) (14)
When the expression (14) is substituted into the expression (3), the following expression (15) is obtained:
Δg=j×ABS(φ−ACOS(d/(d/COS φ+(P−d/COS φ)×ΔV/V))) (15)
That is, the change amount Δg of gap between the charge removal needle point Y and the sheet is expressed by the length d (mm) of the shortest straight line between the center T of the transfer nip portion and the center F of the fixing nip portion, the angle φ (rad) formed by the shortest straight line and the tangent at the center T of the transfer nip portion, the distance j (mm) between the transfer nip portion and the charge removal needle point Y in the transfer nip portion angle direction, the sheet length P (mm), the transfer speed V (mm/sec), and the maximum speed difference ΔV (mm/sec) generated between the transfer nip portion and the fixing nip portion.
At this point, in the recording material on which the image can be formed by the image forming apparatus, the length P (mm) is the length in the sheet (recording material) conveyance direction of the sheet having the longest length in the sheet (recording material) conveyance direction. The length P is determined based on information on specifications of the image forming apparatus such as a service manual and a catalogue.
Therefore, letting 0 (mm)<Δg<=1 (mm) enables the prevention of the image defect caused by the change in distance between the charge removal needle and the sheet.
Then, preferred embodiments of the invention will specifically be described.
An image forming apparatus according to a first embodiment of the invention will be described. The same component as the above conventional art is designated by the same numeral, and the description of the same component will not be shown.
(Entire Configuration of Image Forming Apparatus)
An entire configuration of the image forming apparatus of the first embodiment will be described with reference to
When an operator makes a copy of an original with the color copying machine, the operator first places the original on an original tray 52a, and the operator presses a start key (not shown) provided in the original reader unit 50 to operate the color copying machine. Then, in the color copying machine, the original is delivered onto an upper surface of a platen 50e by the original reading device 52, and the whole surface of the original is scanned by a first mirror unit 50a to read the image. Then the original is discharged to a discharge tray 52b. The image scanned by the first mirror unit 50a is introduced to CCD 51 through a second mirror unit 50b and a lens 50c, the image is converted into electronic data, and the electronic data is transmitted to the printer unit 60.
Then, the printer unit 60 performs the transfer to form the color image by superposing the necessary kinds of the color toner among the magenta toner, yellow toner, cyan toner, and black toner on the sheet delivered from a sheet-feeder unit 40 based on the electronic-data color information. A detailed transfer process will be described below in the case where the four full colors are used.
In the printer unit 60, firstly a rotary development body 34 is rotated to cause a magenta development unit 34a to oppose a photosensitive drum 30. Then, the photosensitive drum 30 and the intermediate transfer belt 35 are rotated at a constant circumferential speed and at the same circumferential speed. After the surface of the photosensitive drum 30 is evenly charged by charging means 32, the surface receives a laser beam 33f from a light scanning device 33 to form an electrostatic latent image for the magenta color. The electrostatic latent image is developed as the magenta toner image by obtaining the magenta toner from the magenta development unit 34a, and the developed magenta toner image is transferred to the intermediate transfer belt 35. The magenta toner which is not transferred to the intermediate transfer belt 35 to remain on the photosensitive drum 30 is cleaned by a cleaner 31.
After the magenta development is such completed, the rotary development body 34 is rotated to arrange a cyan development unit 34b at a position where the cyan development unit 34b opposes the photosensitive drum 30. The cyan toner image is transferred to the intermediate transfer belt 35 in the same manner as the magenta toner image such that the cyan toner image is superposed on the magenta toner image. Then, a yellow development unit 34c, and a black development unit 34d are sequentially opposed to the photosensitive drum 30, and the toner images are formed on the intermediate transfer belt 35 such that the toner image is superposed on the previous color toner images respectively.
In the intermediate transfer belt 35 on which the four color images of magenta, cyan, yellow, and black are transferred, the toner images are transferred to the sheet delivered from the sheet-feeder unit 40 by the transfer unit 37, and then the remaining toner is scraped by coming into contact with a belt cleaner 41.
Then, the color image is transferred to the sheet which is an example of the recording material, the toner image is fixed onto the sheet by the heating and fixing device 36, and the sheet is discharged on the discharge tray 46 to end the operation.
(Configuration Near Transfer Unit)
The sheet to which the toner image is transferred is conveyed to the heating and fixing device 36 which is an example of the fixing device. In the heating and fixing device 36, the pressure roller 45 abuts on the fixing roller 44 with a predetermined abutting pressure to form the fixing nip portion. The fixing roller 44 has heating means therein. The pressure roller 44 is driven by rotating the pressure roller 45, and the toner image is fixed onto the sheet by the heat and pressure. The guide member 43 and the charge removal needle (electrode member) 42 are arranged between the transfer nip portion and the fixing nip portion. The guide member 43 guides the sheet to the fixing nip portion, and the charge removal needle 42 is an example of the charge removal means for removing the charge on the charged sheet. In the recording material conveyance direction, the charge removal needle 42 is provided on the upstream side of the transfer means and on the downstream side of the fixing means.
A spur 61 which is an example of buckling means is arranged on the side (inside corner of bending portion) opposite a bending portion of the guide member 43. The spur is a driven roller having plural projection whose leading end is sharpened, and the spur 61 can abut on the recording surface without disturbing the transferred toner image.
As shown in
After the sheet 100 is sandwiched by the fixing nip portion, the loop amount shown in
Further, while the sheet 100 is simultaneously sandwiched and conveyed by the transfer nip portion and fixing nip portion, the sheet 100 is conveyed with no contact with any members between the transfer nip portion and the fixing nip portion.
At this point, the loop amount shown in
The change in gap Δg is expressed as follows by the above expression (15):
Δg=j×ABS(φ−ACOS(d/(d/COS φ+(P−d/COS φ)×ΔV/V)))
For the specific numerical values of the positional relationship among the members in the first embodiment, the length d of the shortest straight line between the center T of the transfer nip portion and the center F of the fixing nip portion is 70 mm, the angle φ (transfer nip portion angle) formed by the shortest straight line and the tangent at the center T of the transfer nip portion is 0.663 rad (38°), and the distance j between the center T of the transfer nip portion and the charge removal needle 42 and the center T of the transfer nip portion in the tangent direction is 15 mm (see
In the heating and fixing device 36 of the first embodiment, due to the drive of the pressure roller 45, a change in diameter of the pressure roller 45 is generated by a change in temperature of the pressure roller 45, which causes a fluctuation in speed within ±0.5%. The speed fluctuations caused by a tolerance of the roller diameter from machining are generated in both the transfer roller 39 and the fixing roller 44, the fluctuation in speed difference between the transfer nip portion and the fixing nip portion is generated within ±0.3%, and the fluctuation in motor drive accuracy is generated within ±0.2%. Further, the fluctuation in speed caused by fixing slip depending on density of the unfixed image on the sheet is generated within ±0.5%. The summation of the speed fluctuations becomes ±1.5% between the transfer nip portion and the fixing nip portion in the first embodiment. However, as can be seen from
Therefore, in the image forming apparatus according to the first embodiment, the fluctuation in charge removal needle gap can be suppressed by the geometrical arrangement of the members in the short path between the transfer nip portion and the fixing nip portion, and the image forming apparatus in which no image defect is generated can be provided.
As described above, the fluctuation in gap Δg of charge removal needle is shown by the expression (15).
For example, d=80 (mm), j=15 (mm), P=420 (mm), and the three speed differences (ΔV/V=0.005, ΔV/V=0.01, and ΔV/V=0.015) are substituted into the expression (15), and the relationship between the angle φ of the transfer nip portion and the charge removal needle gap Δg is determined.
In order that the ΔV/V is smaller than 0.005 (0.5%), it is generally necessary that high-accuracy motor is used for the drive and the dimensions of the roller diameters are machined with high accuracy. However, according to the invention, the angle φ is set such that the gap fluctuation amount of charge removal needle can be suppressed within 1 mm even in the case of ΔV/V>=0.005. Therefore, the fluctuation in gap Δg of the charge removal needle 42 can be suppressed by the geometrical arrangement of the members without using the special machining and configuration.
Further, when the film-like heating member is driven by a sponge roller in the energy-saving fixing device, generally the fluctuation in speed is generated within ±1.5% due to the fluctuation in sponge, and the speed fluctuation is generated by about ±3.0% at the maximum when the component accuracy and the fixing slip are added. Therefore, speed control of the fixing or loop control is required. However, according to the invention, the angle φ is set such that the gap fluctuation amount of charge removal needle can be suppressed within 1 mm even in the case of 0.3>=ΔV/V>0.015. Therefore, the gap fluctuation Δg of the charge removal needle 42 can be suppressed by the geometrical arrangement of the members without using the special machining and configuration.
Thus, even if the straight line distance d between the centers of the transfer nip portion and the fixing nip portion in the recording-material conveyance direction is 0 (mm)<d<=80 (mm) in order to miniaturize the image forming apparatus, the image defect can be prevented because of 0 (mm)<Δg <=1 (mm).
An image forming apparatus according to a second embodiment of the invention will be described. The same component as the first embodiment is designated by the same numeral, and the description of the same component will not be shown.
In the second embodiment, in order to form the gap fluctuation of 0 (mm)<Δg<=1 (mm), control for keeping the loop amount is performed. In the control, the loop shape of the sheet is detected, and the loop amount is kept by feedback of the detection result to the sheet conveyance speed of the transfer nip portion or the sheet conveyance speed of the fixing nip portion. In this case, because the speed is frequently changed in the fixing roller and the transfer roller in order to keep the gap Δg to a sufficiently small level, a noise becomes troublesome. In the second embodiment, a cycle of the speed switch is made more appropriate to suppress the noise while the image defect caused by the change in distance between the charge removal needle and the sheet is suppressed.
In conveying the sheet 100, the control is performed as follows. That is, the fixing speed is set at Vw when the loop becomes large to turn on the loop detection sensor 47, and the fixing speed is set at Vh the loop detection sensor 47 is turned off. At this point, a switch delay time Tk (sec) between on/off of the sensor and the actual speed switch is generated due to mechanism control or intention. As shown by a broken line of
Δg=j×(φh−φw) (16)
Where φh is an angle formed by the sheet 100 and the shortest straight line connecting the center T of the transfer nip portion and the center F of the fixing nip portion in the upper-limit loop amount in a moment at which the fixing speed is switched Vw to Vh, and φw is an angle formed by the sheet 100 and the shortest straight line connecting the center T of the transfer nip portion and the center F of the fixing nip portion in the lower-limit loop amount in a moment at which the fixing speed is switched Vh to Vw. The center T of the transfer nip portion and the center F of the fixing nip portion shall mean the center in the conveyance direction of the sheet 100.
When the loop length is set at Lh (mm) in the upper-limit loop, the following expression (17) is geometrically obtained:
COS φh=d/Lh (17)
On the other hand, when the loop length is set at Ls (mm) in the loop amount when the loop detection sensor is turned on and off, the following expression (18) is given:
Lh=Ls+(Vh−V)×Tk (18)
Assuming that an angle formed by the shortest straight line and the sheet portion going through the transfer nip portion is set at a loop sensor detection angle φs (rad) when the loop detection sensor 47 detects the loop amount, the following expression (19) is obtained:
COS φs=d/Ls (19)
Therefore, the following expression (20) is substituted in to the expression (18),
Ls=d/COS φs (20)
the following expression (21) is obtained:
Lh=d/COS φs+(Vh−V)×Tk (21)
When the expression (21) is substituted into the expression (17), the following expression (22) is obtained:
COS φh=d/(d/COS φs+(Vh−V)×Tk) (22)
Therefore, the following expression (23) is obtained:
φh=ACOS(d/(d/COS φs+(Vh−V)×Tk)) (23)
When the angle φw on the lower-limit loop side is determined in the similar way, the following expression (24) is obtained:
φw=ACOS(d/(d/COS φs+(Vw−V)×Tk)) (24)
When the expressions (23) and (24) are substituted into the expression (16), the following expression (25) is obtained:
Δg=j×(ACOS(d/(d/COS φs+(Vh−V)×Tk))−ACOS(d/(d/COS φ+(Vw−V)×Tk))) (25)
On the other hand, when the speed switch cycle time in which the loop is pulsated is set at Ts (sec), Ts becomes the summation of the following times. That is, Ts includes the delay time Tk when the speed is switched Vw to Vh since the sensor is turned on, the time when the loop grown by the delay is eliminated by the speed Vh to turn off the sensor, the delay time Tk when the speed is switched Vh to Vw since the sensor is turned off, and the time when the loop decreased by the delay is eliminated by the speed Vw to turn on the sensor. When the Ts is shown by the following expression (26):
Ts=Tk+(V−Vw)×Tk/Vh+Tk+(Vh−V)×Tk/Vw (26)
For example, in the transfer unit provided with loop detection control shown in
As can be seen from
For the specific numerical values of the positional relationship among the members in the second embodiment, the length d of the shortest straight line between the center T of the transfer nip portion and the center F of the fixing nip portion is 60 mm, the loop sensor detection angle φs formed by the shortest straight line and the sheet going through the transfer nip portion is 0.524 rad (30°) when the loop detection sensor 47 detects the loop amount, and the distance j between the center T of the transfer nip portion and the charge removal needle 42 and the center T of the transfer nip portion in the tangent direction is 15 mm. At this point, the loop amount is expressed by the angle formed by the shortest straight line and the sheet gone through the transfer nip portion. That is, the loop amount is increased when the angle formed by the shortest straight line and the sheet gone through the transfer nip portion is increased.
In the second embodiment, the conveyance speed V of the transfer roller 39 is set at 150 mm/sec. The conveyance speed of the fixing roller 44 is set so as to be switched faster to Vh=155 (mm/sec) after the predetermined delay time Tk (sec) by a trigger in which the loop detection sensor 47 is switched the turn-off to the turn-on. Further, the conveyance speed of the fixing roller 44 is set so as to be switched slower to Vw=145 (mm/sec) after the predetermined delay time Tk (sec) by the trigger in which the loop detection sensor 47 is switched the turn-on to the turn-off.
As shown by the broken line in
At this point, the fluctuation in gap Δg between the sheet and the point of the charge removal needle 42 is shown by the expression (16):
Δg=j×(φh−φw) (16)
As described in the first embodiment, the expression (25) is given:
Δg=j×(ACOS(d/(d/COS φs+(Vh−V)×Tk))−ACOS(d/(d/COS φ+(Vw−V)×Tk))) (25)
When the numerical values in the second embodiment are substituted into the expression (25), the relationship between the gap Δg and the delay time Tk is obtained as shown in
The cycle time Ts of the speed switch in which the loop is pulsated is shown by the above expression (26).
Ts=Tk+(V−Vw)×Tk/Vh+Tk+(Vh−V)×Tk/Vw (26)
When the relationship between the speed switch cycle time Ts and the delay time Tk is determined by the expression (26), the result is obtained as shown in
The delay time Tk when the fixing speed is switched since the sensor detects the loop amount is set at 0.25 (sec) in the second embodiment. In this case, Δg=0.94 (mm) is obtained from
Thus, in the image forming apparatus according to the second embodiment, the loop detection control is also used in the short path between the transfer nip portion and the fixing nip portion, and the loop detection sensor is arranged such that the loop amount is sufficiently bent in detecting the loop. Therefore, the fluctuation in charge removal needle gap can be suppressed in the speed switch cycle in which the problem such as the noise does not exist, and the small-size and cheap image forming apparatus in which the image defect is not generated can be realized.
The fluctuation in charge removal needle gap Δg is shown by the expression (25) in the modeling of the image forming apparatus equipped with the loop detection control. For example, d=80 (mm), j=15 (mm), V=150 (mm/sec), Vh=155 (mm/sec), Vw=145 (mm/sec), and the three switch delay time Tk (sec) (Tk=0.1, Tk=0.2, and Tk=0.3) are substituted into the expression (25), and the relationship between the loop sensor detection angle φs and the fluctuation in gap Δg of the charge removal needle is determined.
That is, even if the path between the transfer nip portion and the fixing nip portion is shortened, the fluctuation in gap Δg of the charge removal needle 42 can be suppressed not more than 1 (mm) by increasing the loop sensor detection angle φs without need of switching the speed of the cycle minutely. Therefore, the image forming apparatus can be miniaturized without generating the noise problem and the image defect. Further, since the speed switch cycle Ts is set at least 0.5 (sec), a DC motor and the like in which a relatively long time is required for a speed stabilizing time in switching the speed can also sufficiently be used as the drive means for the heating and fixing device 36.
This application claims the benefit of priority from the prior Japanese Patent Application No. 2004-353841 filed on Dec. 7, 2004 the entire contents of which are incorporated by reference herein.
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