Accurate modal superposition method for harmonic frequency response sensitivity of non-classically damped systems with lower-higher-modal truncation

Mechanical Systems and Signal Processing - Tập 85 - Trang 204-217 - 2017
Weiwei Xiao1, Li Li2, Sheng Lei2
1School of Mechanical Engineering, University of South China, Hengyang, Hunan 421001, China
2School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Tài liệu tham khảo

Mottershead, 2011, The sensitivity method in finite element model updating: a tutorial, Mech. Syst. Signal Process., 25, 2275, 10.1016/j.ymssp.2010.10.012 Mottershead, 1993, Model updating in structural dynamics: a survey, J. Sound Vib., 167, 347, 10.1006/jsvi.1993.1340 Ouyang, 2012, Eigenstructure assignment in undamped vibrating systems: a convex-constrained modification method based on receptances, Mech. Syst. Signal Process., 27, 397, 10.1016/j.ymssp.2011.09.010 Sanliturk, 2005, Noise elimination from measured frequency response functions, Mech. Syst. Signal Process., 19, 615, 10.1016/j.ymssp.2004.04.005 Wang, 1997, Structural damage detection using measured FRF data, Comput. Methods Appl. Mech. Eng., 147, 187, 10.1016/S0045-7825(97)00013-3 Huang, 2012, Structural damage detection of controlled building structures using frequency response functions, J. Sound Vib., 331, 3476, 10.1016/j.jsv.2012.03.001 Adhikari, 2001, Identification of damping: Part 1, viscous damping, J. Sound Vib., 243, 43, 10.1006/jsvi.2000.3391 Lin, 2011, Identification of modal parameters of unmeasured modes using multiple FRF modal analysis method, Mech. Syst. Signal Process., 25, 151, 10.1016/j.ymssp.2010.03.002 Pradhan, 2012, A method for damping matrix identification using frequency response data, Mech. Syst. Signal Process., 33, 69, 10.1016/j.ymssp.2012.07.002 Lee, 2002, Design sensitivity analysis and optimization of an engine mount system using an FRF-based substructuring method, J. Sound Vib., 255, 383, 10.1006/jsvi.2001.4160 Park, 2000, Structure optimization to enhance its natural frequencies based on measured frequency response functions, J. Sound Vib., 229, 1235, 10.1006/jsvi.1999.2591 Dickens, 1997, A critique of mode acceleration and modal augmentation methods for modal response analysis, Comput. Struct., 62, 985, 10.1016/S0045-7949(96)00315-X Leger, 1988, Modal summation methods for structural dynamic computations, Earthq. Eng. Struct. Dyn., 16, 23, 10.1002/eqe.4290160103 Kulkarni, 1992, Inclusion of higher modes in the analysis of non-classically damped systems, Earthq. Eng. Struct. Dyn., 21, 543, 10.1002/eqe.4290210607 Maddox, 1975, On the number of modes necessary for the accurate response and resulting forces in dynamic analyses, J. Appl. Mech. ASME, 42, 516, 10.1115/1.3423622 Hansteen, 1979, On the accuracy of mode superposition analysis in structural dynamics, Earthq. Eng. Struct. Dyn., 7, 405, 10.1002/eqe.4290070502 Borino, 1986, Mode-superposition methods in dynamic analysis of classically and non-classically damped linear systems, Earthq. Eng. Struct. Dyn., 14, 705, 10.1002/eqe.4290140503 D’Aveni, 2001, Improved dynamic correction method in seismic analysis of both classically and non-classically damped structures, Earthq. Eng. Struct. Dyn., 30, 501, 10.1002/eqe.20 Di Paola, 2004, A correction method for dynamic analysis of linear systems, Comput. Struct., 82, 1217, 10.1016/j.compstruc.2004.03.001 Camarda, 1987, An evaluation of higher-order modal methods for calculating transient structural response, Comput. Struct., 27, 89, 10.1016/0045-7949(87)90184-2 Akgun, 1993, A new family of mode-superposition methods for response calculations, J. Sound Vib., 167, 289, 10.1006/jsvi.1993.1336 Liu, 1994, An accurate modal method for computing responses to harmonic excitation, Int. J. Anal. Exp. Modal Anal., 9, 1 Liu, 1996, An extended hybrid method for contribution due to truncated lower- and higher-frequency modes in modal summation, Eng. Struct., 18, 558, 10.1016/0141-0296(95)00123-9 Huang, 1997, An accurate modal method for computing response to periodic excitation, Comput. Struct., 63, 625, 10.1016/S0045-7949(96)00367-7 Qu, 2000, Hybrid expansion method for frequency responses and their sensitivities, Part I: undamped systems, J. Sound Vib., 231, 175, 10.1006/jsvi.1999.2672 Qu, 2000, Hybrid expansion method for frequency responses and their sensitivities, part II: viscously damped systems, J. Sound Vib., 238, 369, 10.1006/jsvi.2000.3085 Chen, 2007 Ning, 2010, An improved series expansion method of frequency response function under medium and high frequency excitations, International, J. Mech. Mater. Des., 6, 11, 10.1007/s10999-010-9112-8 Qu, 2007, Adaptive mode superposition and acceleration technique with application to frequency response function and its sensitivity, Mech. Syst. Signal Process., 21, 40, 10.1016/j.ymssp.2006.02.002 Li, 2014, A hybrid expansion Method for frequency response functions of non-proportionally damped systems, Mech. Syst. Signal Process., 42, 31, 10.1016/j.ymssp.2013.07.020 Li, 2014, Eliminating the modal truncation problem encountered in frequency responses of viscoelastic systems, J. Sound Vib., 333, 1182, 10.1016/j.jsv.2013.10.018 Li, 2014, Accurate method for harmonic responses of non-classically damped systems in the middle frequency range, J. Vib. Control, 1 Caughey, 1965, Classical normal modes in damped linear dynamic systems, J. Appl. Mech. ASME, 32, 583, 10.1115/1.3627262 Mao, 2010, Stiffness influential factors-based dynamic modeling and its parameter identification method of fixed joints in machine tools, Int. J. Mach. Tools Manuf., 50, 156, 10.1016/j.ijmachtools.2009.10.017 Xiao, 2014, Modeling the spindle-holder taper joint in machine tools: a tapered zero-thickness finite element method, J. Sound Vib., 333, 5836, 10.1016/j.jsv.2014.06.023 Tsai, 1988, Non-classical damping in dynamic analysis of base-isolated structures with internal equipment, Earthq. Eng. Struct. Dyn., 16, 29, 10.1002/eqe.4290160104 L. Li, Y.J. Hu, X.L. Wang, Frequency response sensitivity: an accurate complex modal superposition method, in : Proceeding of the Twelfth International Conference on Computational Structures Technology, Naples, Italy, 2014. Du, 2003, Real mode superposition method for analysis of seismic response of non-proportionally damped isolated structures, Eng. Mech., 20, 24 Adhikari, 1999, Modal analysis of linear asymmetric nonconservative systems, J. Eng. Mech., 125, 1372, 10.1061/(ASCE)0733-9399(1999)125:12(1372) Tisseur, 2001, The quadratic eigenvalue problem, SIAM Rev., 43, 235, 10.1137/S0036144500381988 Fawzy, 1976, On the dynamics of linear non-conservative systems, Proc. R. Soc. Lond. Ser. A, 352, 25, 10.1098/rspa.1976.0161 Adhikari, 2001, Eigenrelations for nonviscously damped systems, AIAA J., 39, 1624, 10.2514/2.1490 Adhikari, 2000 Li, 2015, Generalized mode acceleration and modal truncation augmentation methods for the harmonic response analysis of nonviscously damped systems, Mech. Syst. Signal Process., 2, 46, 10.1016/j.ymssp.2014.07.003 Klaus-Jürgen, 1996 Li, 2015, Efficient and accurate calculation of sensitivity of damped eigensystems, Comput. Struct., 146, 163, 10.1016/j.compstruc.2014.10.004