Nabeel T. Alshabatat and Koorosh Naghshineh
[1] R. Grandhi, Structural optimization with frequencyconstraints – A review, AIAA Journal, 31(1), 1993, 2296–2303. [2] M.P. Bendsøe and N. Olhoff, A method of design againstvibration resonance of beams and shafts, Optimal ControlApplications and Methods, 6, 1985, 191–200. [3] S.P. Timoshenko, D.H. Young, and W. Weaver, Vibrationproblems in engineering (New York: John Wiley, 1974). [4] L. Meirovitch, Analytical method in vibrations (London:MacMillan, 1967). [5] D. Szelag and Z. Mroz, Optimal design of vibrating beams withunspecified support reactions, Computer Methods in AppliedMechanics and Engineering, 19 (3), 1979, 333–349. [6] P.W. Wang and C.C. Cheng, Natural frequency tuning usingstructural patches, Journal of Vibration and Acoustics, 127(1),2005, 28–35. [7] D. Zhou and T. Ji, Dynamic characteristics of a beam anddistributed spring–mass system, International Journal of SolidsStructures, 43, 2006, 5555–5569. [8] M.C. Ece, M. Aydogdu, and V. Taskin, Vibration of a variablecross-section beam, Mechanics Research Communications, 34,2007, 78–84. [9] J.W. Jaworski and E.H. Dowell, Free vibration of a cantileverbeam with multiple steps: Comparison of several theoreticalmethods with experiment, Journal of Sound Vibration, 312,2008, 713–725.143D [10] B.L. Karihaloo and F.I. Niordson, Optimum design of vibratingcantilevers, Journal of Optimization Theory and Applications,11(6), 1973, 638–654. [11] V.K. Gupta and P.N. Murthy, Optimal design of uniform non-homogeneous vibrating beams, Journal of Sound Vibration,59(4), 1978, 521–531. [12] N. Olhoff and R. Parbery, Designing vibrating beams and ro-tating shafts for maximum difference between adjacent naturalfrequencies, International Journal of Solids Structures, 20(1),1984, 63–75. [13] D. Wang, M.I. Friswell, and Y. Lei, Maximizing the naturalfrequency of a beam with an intermediate elastic support,Journal of Sound Vibration, 291, 2006, 1229–1238. [14] W.N. Cheng, C.C. Cheng, and G.H. Koopmann, Dynamicbeam modification using dimples, Journal of Vibration andAcoustics, 130(4), 2008. [15] J.H. Holland, Adaptation in natural and artificial system, (AnnArbor: The University of Michigan Press, 1975). [16] M. Gen and R. Cheng, Genetic algorithms and engineeringoptimization (New York: Wiley-Interscience, 2000).
Important Links:
Go Back