Structural optimization with an automatic mode identification method for tracking global vibration mode

References

• Allemang, R. J. 2003. “The Modal Assurance Criterion—Twenty Years of Use and Abuse.” Journal of Sound & Vibration 37 (8): 14–23. doi:doi: 10.1016/j.chemgeo.2006.02.014.
   Web of Science ®Google Scholar
• Allemang, R. J., and D. L. Brown. 1982. “A Correlation Coefficient for Modal Vector Analysis.” Proceedings of the First International Modal Analysis Conference, Schenectady, New York, Union College.
   Google Scholar
• An, H., S. Chen, and H. Huang. 2016a. “Structural Optimization for Multiple Structure Cases and Multiple Payload Cases with a Two-Level Multipoint Approximation Method.” Chinese Journal of Aeronautics 29 (5): 1273–1284. doi: 10.1016/j.cja.2016.08.012.
   Web of Science ®Google Scholar
• An, H., K. Xian, and H. Huang. 2016b. “Actuator Placement Optimization for Adaptive Trusses Using a Two-Level Multipoint Approximation Method.” Structural and Multidisciplinary Optimization 53 (1): 29–48. doi: 10.1007/s00158-015-1306-0.
   Web of Science ®Google Scholar
• Brehm, M., V. Zabel, and C. Bucher. 2010. “An Automatic Mode Pairing Strategy Using an Enhanced Modal Assurance Criterion Based on Modal Strain Energies.” Journal of Sound and Vibration 329 (25): 5375–5392. doi: 10.1016/j.jsv.2010.07.006.
   Web of Science ®Google Scholar
• Chang, G. H., and F. Yong. 1997. “Optimal 3D Stiffener Design with Frequency Considerations.” Advances in Engineering Software 28 (8): 525–531. doi: 10.1016/S0965-9978(97)00033-1.
   Web of Science ®Google Scholar
• Chen, S. Y., and H. Huang. 2008. “Engineering System for Structural Optimization—ESSOSII.” 5th China–Japan–Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM5), Jeju Island, ISSMO.
   Google Scholar
• Chen, S., and H. Huang. 2010. “Optimum Design of a Space Frame and Its Application in Satellite Structure.” Journal of Spacecraft and Rockets 47 (6): 1063–1066. doi: 10.2514/1.49203.
   Web of Science ®Google Scholar
• Clough, R. W., and J. Penzien. 1975. Dynamics of Structures. New York: McGraw-Hill.
   Google Scholar
• Eldred, M. S., P. B. Lerner, and W. J. Anderson. 1992. “Higher Order Eigenpair Perturbations.” AIAA Journal 30 (7): 1870–1876. doi: 10.2514/3.11149.
   Web of Science ®Google Scholar
• Eldred, M. S., V. B. Venkayya, and W. J. Anderson. 1995. “Mode Tracking Issues in Structural Optimization.” AIAA Journal 33 (10): 1926–1933. doi: 10.2514/3.12747.
   Web of Science ®Google Scholar
• Ewins, D. J. 2000. “Model Validation: Correlation for Updating.” Sadhana 25 (3): 221–234. doi:doi: 10.1007/BF02703541.
   Web of Science ®Google Scholar
• Grandhi, R. 1993. “Structural Optimization with Frequency Constraints—A Review.” AIAA Journal 31 (12): 2296–2303. doi:doi: 10.2514/3.11928.
   Web of Science ®Google Scholar
• Grandhi, R. V., and V. B. Venkayya. 1988. “Structural Optimization with Frequency Constraints.” AIAA Journal 26 (7): 858–866. doi:doi: 10.2514/3.9979.
   Web of Science ®Google Scholar
• Huang, H., and R. W. Xia. 1995. “Two-Level Multipoint Constraint Approximation Concept for Structural Optimization.” Structural Optimization 9 (1): 38–45. doi:doi: 10.1007/BF01742643.
   Web of Science ®Google Scholar
• Jensena, J. S., and N. L. Pedersen. 2006. “On Maximal Eigenfrequency Separation in Two-Material Structures: the 1D and 2D Scalar Cases.” Journal of Sound and Vibration 289 (4-5): 967–86. doi:doi: 10.1016/j.jsv.2005.03.028.
   Web of Science ®Google Scholar
• Kaveh, A., and S. M. Javadi. 2014. “Shape and Size Optimization of Trusses with Multiple Frequency Constraints Using Harmony Search and Ray Optimizer for Enhancing the Particle Swarm Optimization Algorithm.” Acta Mechanica 225 (6): 1595–1605. doi:doi: 10.1007/s00707-013-1006-z.
   Web of Science ®Google Scholar
• Khatibinia, M., and S. S. Naseralavi. 2014. “Truss Optimization on Shape and Sizing with Frequency Constraints Based on Orthogonal Multi-gravitational Search Algorithm.” Journal of Sound and Vibration 333 (24): 6349–6369. doi: 10.1016/j.jsv.2014.07.027
   Web of Science ®Google Scholar
• Kim, T. S., and Y. Y. Kim. 2000. “MAC-Based Mode-Tracking in Structural Topology Optimization.” Computers & Structures 74 (3): 375–383. doi:doi: 10.1016/S0045-7949(99)00056-5.
   Web of Science ®Google Scholar
• Li, J., S. Chen, and H. Huang. 2015. “Topology Optimization of Continuum Structure with Dynamic Constraints Using Mode Identification.” Journal of Mechanical Science and Technology 29 (4): 1407–1412. doi: 10.1007/s12206-015-0311-y.
   Web of Science ®Google Scholar
• Lieven, N. A. J., and D. J. Ewins. 1988. “Spatial Correlation of Mode Shapes, the Coordinate Modal Assurance Criterion (COMAC).” Proceedings of 6th International Modal Analysis Conference (IMAC), Kissimmee, FL: 690–695, CT, Society for Experimental Mechanics.
   Google Scholar
• Lieven, N. A. J., and Waters, T. P. 1994. “Error Location Using Normalised Orthogonality.” Proceedings of the 12th International Modal Analysis Conference: 761–764. Proceedings of SPIE, Vol. 2251.
   Google Scholar
• Ma, Z. D., H. C. Cheng, and N. Kikuchi. 1994. “Structural Design for Obtaining Desired Eigenfrequencies by Using the Topology and Shape Optimization Method.” Computing Systems in Engineering 5 (94): 77–89. doi: 10.1016/0956-0521(94)90039-6
   Google Scholar
• Ma, Z. D., Kikuchi, N., and Cheng, H. C. 1995. “Topological Design for Vibrating Structures.” Computer Methods in Applied Mechanics and Engineering 121 (1-4): 259–280. doi:doi: 10.1016/0045-7825(94)00714-X.
   Web of Science ®Google Scholar
• Ma, Z. D., N. Kikuchi, and I. Hagiwara. 1993. “Structural Topology and Shape Optimization for a Frequency Response Problem.” Computational Mechanics 13 (3): 157–174. doi:doi: 10.1007/BF00370133.
   Web of Science ®Google Scholar
• Miguel, L. F. F., and L. F. F. Miguel. 2012. “Shape and Size Optimization of Truss Structures Considering Dynamic Constraints through Modern Metaheuristic Algorithms.” Expert Systems with Applications 39 (10): 9458–9467. doi:doi: 10.1016/j.eswa.2012.02.113.
   Web of Science ®Google Scholar
• Morales, C. A. 2005. “Comments on the MAC and the NCO, and a Linear Modal Correlation Coefficient.” Journal of Sound and Vibration 282 (1-2): 529–537. doi:doi: 10.1016/j.jsv.2004.04.011.
   Web of Science ®Google Scholar
• MSC.Software Corporation. 2006. MSC.ProCOR 2006 User’s Guide. USA: MSC.Software Corporation.
   Google Scholar
• Pastor, M., M. Binda, and T. Harčarik. 2012. “Modal Assurance Criterion.” Procedia Engineering 48: 543–548. doi:doi: 10.1016/j.proeng.2012.09.551.
   Google Scholar
• Sedaghati, R. 2005. “Benchmark Case Studies in Structural Design Optimization Using the Force Method.” International Journal of Solids and Structures 42 (21-22): 5848–5871. doi:doi: 10.1016/j.ijsolstr.2005.03.030.
   Web of Science ®Google Scholar
• Sedaghati, R., A. Suleman, and B. Tabarrok. 2002. “Structural Optimization with Frequency Constraints Using the Finite Element Force Method.” AIAA Journal 40 (2): 382–388. doi:doi: 10.2514/2.1657.
   Web of Science ®Google Scholar
• Shunmugavel, P. 1995. “Modal Effective Masses for Space Vehicles.” 36th Structures, Structural Dynamics and Materials Conference, New Orleans, LA: AIAA. doi:doi: 10.2514/6.1995-1252.
   Google Scholar
• Towner, R., and J. Band. 2012. “An Analysis Technique/Automated Tool for Comparing and Tracking Analysis Modes of Different Finite Element Models.” 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, AIAA. doi:doi: 10.1016/0045-7949(71)90013-7.
   Google Scholar
• Tsai, T. D., and C. C. Cheng. 2013. “Structural Design for Desired Eigenfrequencies and Mode Shapes Using Topology Optimization.” Structural and Multidisciplinary Optimization 47 (5): 673–686. doi:doi: 10.1007/s00158-012-0840-2.
   Web of Science ®Google Scholar
• Vanderplaats, G. N. 1982. “Structural Optimization—Past, Present, and Future.” AIAA Journal 20 (7): 992–1000. doi:doi: 10.2514/3.51158.
   Web of Science ®Google Scholar
• Venkayya, V. B. 1971. “Design of Optimum Structures.” Computer & Structures 1 (1–2): 265–309. doi: 10.1016/0045-7949(71)90013-7.
   Google Scholar
• Wang, D., W. Zhang, and J. Jiang. 2004. “Truss Optimization on Shape and Sizing with Frequency Constraints.” AIAA Journal 42 (3): 622–630. doi:doi: 10.2514/1.1711.
   Web of Science ®Google Scholar
• Wijker, J. J. 2008. Spacecraft Structures. Berlin: Springer.
   Google Scholar
• Yuan, J. 2009. Design and Analysis of Satellite Structures. Beijing: China Astronautic Publishing House.
   Google Scholar