This application claims priority of Taiwan Patent Application Serial No. 093126651 entitled “Method and Disc Reading Device for Detecting Unbalanced Disc”, filed on Sep. 3, 2004.
The present invention relates to an apparatus and a method for detecting an unbalance status of a disc, and particularly to an apparatus and a method for detecting the unbalance status according to detected parameters.
For many years, digital technology is broadly used in many areas. Thus, the storage media for storing mass digital data is developed, such as CD-ROM, DVD-ROM and so on. Also, the rotation speed of the disc reading apparatus continuously increases for faster access speed. As a result, the problems with unbalance disc become more serious at high rotation speed.
Typically, for a slightly unbalanced disc, the mass center is not identical to the geometrical center. It is not remarkable if the unbalance is small or the rotation speed is low. As the rotation speed increases, the disc reading apparatus becomes vibrating and thus the data accessibility is affected. Further, the disc might be cracked, if the unbalance is serious, to cause damages to the disc reading apparatus.
In order to solve the above problem, the actual speed is typically lowered down while driving an unbalance disc. Hence, how to accurately determine unbalance disc is a very important issue.
Tracking Error Method is a conventional method for determining unbalance disc. This method uses reading head to detect the number of cross-track due to vibration caused by unbalance disc. As the disc vibration becomes more serious, the reading head detects more cross-tracks. However, the accuracy depends heaavily on the reading head and erroneous determination is common due to difference among different reading heads. Further, this method only detects the vibration in one direction, i.e. the radial direction, and is insensitive to the vibration in other directions.
Frequency Generator Method (FG method) is another conventional method for determining unbalance disc. In this method, the disc is pre-accelerated to a predetermined rotation speed, and the rotation speed is maintained at a substantial constant speed in close-loop condition for sampling the rotation speed in a time period ΔT. ΔT is divided into n Δt, n is a positive integer, and an average velocity Vi is calculated for each Δt. At last, ΣVi is calculated statistically to determine the unbalance amount. However, responsive to variation of disc speed, the motor needs to adjust maintaining the predetermined rotation speed because the system is required to be in close-loop condition. Moreover, FG method is not sensitive enough because the velocity variation is small in the close-loop condition.
As the above discussion, conventional methods have several problems, including erroneous determination, insensitivity, etc. It is advantageous to provide an apparatus and a method for accurately and easily detecting the unbalance status.
It is one aspect of the invention to provide an apparatus and a method for easily and accurately detecting an unbalance status of a disc.
The present invention provides a disc reading apparatus for determining an unbalance status of a disc. The disc reading apparatus includes a first sensor, a second sensor, a cache memory, a calculating unit, and a data table. The first sensor detects a first parameter and the second sensor detects a second parameter when the disc reading apparatus drives the disc at a predetermined voltage. The cache memory records the detected second parameter as a first corresponding value when the first parameter is detected as being equal to a first predetermined value. The cache memory records the detected second parameter as a second corresponding value when the first parameter is detected as being equal to a second predetermined value. The data table has a standard difference corresponding to an unbalance-free disc and a plurality of reference differences respectively corresponding to a plurality of unbalanced discs. The calculating unit calculates a difference between the first corresponding value and the second corresponding value, and determines the unbalance status of the disc by comparing the calculated difference to the standard difference and the reference differences in the data table.
The present invention provides a method for determining an unbalance status of a disc disposed within a disc reading apparatus. The method includes the following steps. The disc reading apparatus is operated at a predetermined voltage for driving the disc. A first parameter and a second parameter are detected. The detected second parameter is recorded as a first corresponding value when the detected first parameter is equal to a first predetermined value. The detected second parameter is recorded as a second corresponding value when the detected first parameter is equal to a second predetermined value. A difference is calculated between the first corresponding value and the second corresponding value. The unbalance status of the disc is determined according to the difference.
<Unbalance Status of a Disc>
A disc is unbalanced when its mass center is not identical to its geometrical center. It causes following two effects: (1) increase of the moment of inertia; and (2) generation of lateral force on the rotation axle, thereby the friction force on motor is increased. These two effects are discussed as following:
(A) Increased Moment of Inertia
The moment of inertia, I0, of a normal disc, i.e. an unbalance-free disc, is
wherein m is mass of the disc, r0 is outer radius of the disc, and r1 is inner radius of the disc.
Given an unbalance disc with a offset mass m′ in addition to the normal mass m, the moment of inertia of the unbalance disc, I′, is described as following:
wherein x is offset radius.
In general, m′ is usually much smaller than m, i.e. m′<<m. Thus, the increased moment of inertia due to unbalance, i.e. m′x2, is much smaller than the normal moment of inertia. That is, m′x2 is negligible and I′ is substantially equal to I0.
(B) Lateral Force on Rotation Axle
The lateral force, F, on the rotation axle during rotation of an unbalance disc is
F=mr ω2,
wherein m is the mass of disc, r is the radius of disc, and ω is the rotation speed of disc. Assuming the unbalance disc rotates at 175 Hz with typical 6 g-mm offset mass, the resulted lateral force is about 30 gw. The acceleration process is affected by the resulted lateral force, and thus the acceleration of an unbalance disc is distinguishable from that of a normal disc, which is the operation principle of the present invention.
<Operation Principle of Driving Device>
In one embodiment of the present invention, an optical disc reading device is embodied with a driving device to rotate the disc, wherein motor is commonly used as the driving device. When the driving device operates at a voltage V, the operation of driving device is described by Equation (1):
Wherein E is the power consumption of driving device, i is the applied current, R is the resistance of driving device, L is the inductance of driving device, and t represents time. Inductance L is negligible since it is relatively much smaller. The equation (1) is rewritten by substituting E=kNN and i=τ/kt as Equation (2):
Wherein kN is a coefficient of rotation speed and kt is a resistance coefficient, both depend on the characteristics of driving device. N is the rotation speed of the driving device and τ is the torque of driving device. The torque τ of driving device is further described by:
τ=τf+Iα,
wherein τf is the friction torque, I is the moment of inertia, and α is the angular acceleration of rotation axle. Thus, the equation (2) is rewritten as Equation (3):
From the above equations, the torque τ outputted by the driving device should be a constant value at a certain rotation speed if the applied voltage remains unchanged. According to the above discussions, the moment of inertia of a normal disc is substantially equal to an unbalance disc, thus a large angular acceleration a results in a smaller friction torque τf and vice versa. Further reference to the above-mentioned lateral force on rotation axle, the lateral force on axle for an unbalance disc is greater than that of a normal disc, thus the torque τf of the unbalance disc is also greater than the normal disc. Therefore, the acceleration of an unbalance disc is smaller when the driving device operates at a constant voltage. Correspondingly, it requires more time to reach a predetermined speed for an unbalance disc.
While the above descriptions discuss about the relationship between acceleration and time, those who skilled in the art may also derive speed-time relationship via mathematical derivation.
The cache memory 106 connects to the first sensor 102 and the second sensor 104, respectively through signal lines 112 and 114, for selectively recording the first parameter and/or second parameter. The cache memory 106 may be any conventional storage unit, such as dynamic random access memory (DRAM), static random access memory (SRAM), or any other storage units. In this embodiment, the cache memory 106 records the second parameter, detected by second sensor 104 when the disc reading apparatus driving the disc at a predetermined voltage, as a first corresponding value when the first parameter, detected by the first sensor 102 when the disc reading apparatus driving the disc at a predetermined voltage, is equal to a first predetermined value. The cache memory 106 records the second parameter, detected by second sensor 104, as a second corresponding value when the first parameter, detected by first sensor 102, is equal to a second predetermined value. The first predetermined value and the second predetermined value is selected on demand without any particular limitation. The calculating unit 108 is connected to cache memory 106 through a signal line 116 for calculating a difference between the first corresponding value and the second corresponding value. The calculating unit 108 further determines a corresponding unbalance status of the disc from a data table 110. Data table 110 is connected to calculating unit 108 through a signal line 118. The data table 110 contains at least a standard difference, corresponding to an unbalance-free disc, and a plurality of reference differences, corresponding to a plurality of unbalanced discs. The details of data table 110 are described hereinafter.
As described above, the present invention provides a method and an apparatus for determining an unbalance statue of a disc. An accurate result may be obtained based on the fore-mentioned principles and discussions. It should be noted that although the disc reading apparatus is described above to operate at a particular voltage for rotating the disc from static condition, it does not intent to limit the present invention as such. Therefore, the present invention may be applied to any initial condition of the disc, such as a static disc or an already rotating disc, either accelerated in open-loop or closed loop conditions, or any other conditions. Moreover, the present invention may be used concurrently with the conventional detecting methods.
It should be noted that three predetermined statuses are recited here for explaining the present invention. Those skilled in the art should understand that other number of statuses may be used. The illustrated embodiments should be considered as examples and should not be construed in a limiting sense
It should be note that the determination of balance disc described above is illustrated as an example. In another embodiment, the data table may be utilized in different manner. For example, the unbalance status of disc may be determined by interpolation, extrapolation, or other conventional manner. Furthermore, relationship between angular acceleration and time may also be alternatively used to determine the unbalance status of disc.
The spirit and scope of the present invention can be clearly understood by the above detail descriptions of the prefer embodiments. The embodiments are not intended to construe the scope of the invention. Contrarily, various modifications of the illustrative embodiment, as well as other embodiments of the invention, will be apparent to persons skilled in the art upon reference to this description. It is therefore contemplated that the appended claims will cover any such modifications or embodiments as falling within the true scope of the invention.
Number | Date | Country | Kind |
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93126651 | Sep 2004 | TW | national |