Reference is made to application Ser. No. 12/387,535 entitled “RADIAL COMPRESSOR OF ASYMMETRIC CYCLIC SECTOR WITH COUPLED BLADES TUNED AT ANTI-NODES”, which is filed on even date and is assigned to the same assignee as this application.
Reference is also made to application Ser. No. 11/958,585 entitled “METHOD TO MAXIMIZE RESONANCE-FREE RUNNING RANGE FOR A TURBINE BLADE”, filed on Dec. 18, 2007 by Loc Q. Duong, Ralph E. Gordon, and Oliver J. Lamicq and is assigned to the same assignee as this application.
The present invention relates to radial compressors, and in particular, to radial compressors with blades tuned according to natural frequency.
Gas turbine engines typically include several sections such as a compressor section, a combustor chamber, and a turbine section. In some gas turbine engines, the compressor section includes a radial compressor with a series of main blades and splitter blades connected by a disc. During operation of the gas turbine engine, the main blades and splitter blades can be subject to vibratory excitation at frequencies which coincide with integer multiples, referred to as harmonics, of the radial compressor's rotational frequency. As a result of the vibratory excitation, the main blades and/or the splitter blades can undergo vibratory deflections that create vibratory stress on the blades. If the vibratory excitation occurs in an expected operating speed range of the radial compressor, the vibratory stresses can create high cycle fatigue and cracks over time.
According to the present invention, a gas turbine engine includes a radial compressor with first and second blades. The first and second blades have tuned leading edges that prevent natural frequencies from exciting at speeds within an expected operating speed range.
Another embodiment includes a method for tuning a radial compressor. The method includes designing the radial compressor to have a first blade connected to a second blade by a disc, wherein the first and second blades have first and second blade resonant modes that excite in an expected operating speed range of the radial compressor, modifying the disc to have a stiffness that reduces transmission of vibration between the first and second blades, tuning the first and second blades by modifying mass quantity at primary anti-nodes of the first and second blade resonant modes, and fabricating the radial compressor as modified and tuned.
Hub 16 can be attached to a compressor shaft of a gas turbine engine (not shown). In operation, air from a turbine inlet (not shown) can pass over leading edge 28, is compressed by blades 12 as radial compressor 10 rotates, and passes over trailing edge 30 on its way to a combustion chamber (not shown). Because operation of gas turbine engines is well known in the art, it will not be described in detail herein. However, during engine operation, various aero-excitation source frequencies can be created as air passes over components of the gas turbine engine, such as inducer or exducer vanes. Different source frequencies can be created at different operating speeds. These source frequencies are transmitted to the air, causing unsteady fluid pressure, and can then be transmitted to radial compressor 10. Radial compressor 10 can have one or more natural frequencies (also called resonance frequencies) in which one or more blades 12 and/or disc 14 will vibrate. If a natural frequency coincides with an aero-excitation source frequency, an interference can occur, causing undesired harmonic vibration. A variety of possible blade anti-nodes 34 are illustrated on free edges 26 of blades 12. Primary anti-node 35 is that with the greatest deflection of all blade anti-nodes 34 on a particular blade 12. If a particular blade 12 has two anti-nodes 34 with almost the same deflection, both can be referred to as primary anti-nodes 35, and any other anti-nodes 34 can be referred to as secondary anti-nodes 34.
For example, radial compressor 10 has a variety of natural frequencies associated with nodal diameter n that are potentially excitable at different operating speeds. However, radial compressor 10 only has two natural frequencies 56 and 58 associated with nodal diameter n that occur in the expected operating speed range. As illustrated, natural frequency 56 corresponds to splitter blade 20 and natural frequency 58 corresponds to main blade 22. It can be desirable to tune radial compressor 10 such that natural frequencies 56 and 58 excite outside of the expected operating speed range. For example, radial compressor 10 could be tuned such that natural frequencies 56′ and 58′ occur below lower bound line 54. In that case, natural frequencies 56′ and 58′ will not be excited in the expected operating speed range. Natural frequencies 56′ and 58′ could, however, be excited for a period of time as the gas turbine engine speeds up during initial startup and shutdown. Alternatively, radial compressor 10 could be tuned such that natural frequencies 56″ and 58″ occur above upper bound line 52. In that case, natural frequencies 56″ and 58″ will not be excited in the expected operating speed range nor during initial startup and shutdown. In further alternative, radial compressor 10 could be tuned such that natural frequency 56′ occurs below lower bound line 54 and natural frequency 58″ occurs above upper bound line 52.
Once the blade resonant modes are identified, stiffness of disc 14 is modified to reduce transmission of vibration between blades 12 (step 108). Prior art discs can be relatively thin, allowing vibration in one blade, such as splitter blade 20, to be easily transmitted to and excite another nearby blade, such as main blade 22. This effect couples blade vibrations together such that modifications to splitter blade 20 also affect natural frequency of main blade 22. This coupling can make it difficult to predictably tune a given blade. Thickness of disc 14 can be increased to stiffen disc 14 in order to reduce transmission of vibration between splitter blade 20 and main blade 22. For example, thickness of disc 14 can be increased at rim 18 to a thickness greater than about 1.3 times a thickness of trailing edge 30 of one of blades 12. If disc 14 is connected to blades 12 with a tapered fillet portion (not shown) at fixed edge 24, thickness of trailing edge 30 is measured at a normal portion of trailing edge 30, not the tapered portion. Thickness can be increased until vibrations between splitter blade 20 and main blade 22 are substantially decoupled when operating in the expected operating speed range. After decoupling, vibrations in splitter blade 20 will not excite resonant vibrations in main blade 22, and vise versa. Decoupling can be performed using a finite element method.
After splitter blade 20 and main blade 22 are decoupled, location of blade anti-nodes 34 of the blade resonant mode shapes with interferences are identified on each of splitter blade 20 and main blade 22 (step 110). Blade anti-nodes 34 typically occur along free edge 26, and in particular, along leading edge 28. If there is more than one blade anti-node 34 along free edge 26, one or more primary anti-nodes 35 have greater deflection than all other blade anti-nodes 34 of the blade resonant mode shape in question. In radial compressors such as radial compressor 10, one primary anti-node 35 is typically positioned along leading edge 28. Location of blade anti-nodes 34 can be determined through eigenvalue solutions, in a manner known in the art.
Then splitter blade 20 and main blade 22 are tuned at blade anti-nodes 34 (step 112). Tuning is performed by modifying mass localized at one or more blade anti-nodes 34 on each of splitter blade 20 and main blade 22. Increasing mass at blade anti-node 34 decreases natural frequency, and decreasing mass at blade anti-node 34 increases natural frequency. Mass can be modified until the natural frequency of the blade resonant mode shapes that have interferences are moved out of the expected speed range. Mass can be further modified to further increase a substantially resonance-free running range at the nodal diameter at issue. Because splitter blade 20 is vibrationally decoupled from main blade 22, each blade can be independently tuned without mistuning the other. Step 112 can be repeated to tune all of blades 12. It can be relatively effective and efficient to modify mass only at primary anti-node 35 on each leading edge 28 of blades 12. If further tuning is desired, mass quantity can be modified on one or more of blades 12 at an additional blade anti-node. After tuning is complete, radial compressor 10 can have no natural frequencies that excite in the expected operating speed range. Leading edges 28 are tuned to prevent natural frequencies from exciting at speeds within the expected operating speed range.
Some or all of steps 100-112 can be performed physically, electronically, or both. If steps 100-112 are performed electronically, radial compressor 10 can then be fabricated as electronically modified and tuned. Radial compressor 10 can be fabricated using techniques such as forging and machining.
Splitter blade 20″ and main blade 22″ can also be modified by adding mass at tuned portions 204″ and 208″. For example, mass addition can be achieved by smoothly and continuously increasing thickness of splitter blade 20″ at tuned portion 204″ from non-tuned thickness 210 to increased mass tuned thickness 214. Smooth mass modification allows for reduced aerodynamic impact and flow separation.
After splitter blade 20″ and main blade 22″ are tuned, each blade's contour profile geometry can be optimized to reduce stress concentration while maintaining a desirable aero-constraint on an incident angle of leading edge 28″ within about 2 degrees. All of radial compressor 10 can be tuned similarly to cyclic sector 200″ such that main blade 22″ is one of a plurality of substantially similar tuned main blades and splitter blade 20″ is one of a plurality of substantially similar tuned splitter blades.
It will be recognized that the present invention provides numerous benefits and advantages. For example, tuning radial compressor 10 moves natural frequencies out of an expected operating speed range and, therefore, reduces vibratory stresses and cracks in radial compressor 10. By increasing thickness of disc 14, splitter blade 20 and main blade 22 can be decoupled and, consequently, independently tuned. By modifying mass at primary anti-nodes 35 on splitter blade 20 and main blade 22, tuning can be more efficient and more effective than by modifying mass at other locations on blades 12, disc 14, or elsewhere in the gas turbine engine. Additionally, by modifying mass at leading edges 28 instead of at trailing edges 30, problems associated with mass modification at trailing edge 30 can be reduced (such as weakening the blades due to elastic deformation if trailing edge 30 is made thinner or increasing steady state stress if trailing edge 30 is made thicker).
While the invention has been described with reference to exemplary embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the scope of the invention. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the invention without departing from the essential scope thereof. Therefore, it is intended that the invention not be limited to the particular embodiments disclosed, but that the invention will include all embodiments falling within the scope of the appended claims. For example, blades 12 and disc 14 need not be configured as specifically illustrated so long as they are part of a radial compressor that benefits from tuning as described.
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