Space–time topology optimization for one-dimensional wave propagation
Tài liệu tham khảo
Bendsøe, 1989, Optimal shape design as a material distribution method, Struct. Optim., 10, 193, 10.1007/BF01650949
Bendsøe, 1988, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Engrg., 71, 197, 10.1016/0045-7825(88)90086-2
Bendsøe, 1999, Material interpolations in topology optimization, Arch. Appl. Mech., 69, 635, 10.1007/s004190050248
Bendsøe, 2003
Blekhman, 2000, On dynamic materials, Proc. Russian Acad. Sci. (Doklady), 37, 182
Blekhman, 2008, Vibrational dynamic materials and composites, J. Sound Vib., 317, 657, 10.1016/j.jsv.2008.03.015
Bruggi, 2007, Topology optimization of incompressible media using mixed finite elements, Comput. Methods Appl. Mech. Engrg., 196, 3151, 10.1016/j.cma.2007.02.013
Brillouin, 1953
Choi, 2008, Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems, Comput. Methods Appl. Mech. Engrg., 197, 4193, 10.1016/j.cma.2008.04.019
Chung, 2000, Reconstruction of dielectric cylinders using FDTD and topology optimization technique, IEEE Trans. Magnetics, 36, 956, 10.1109/20.877600
Clark, 2000, Vibration control with state-switched piezoelectric materials, J. Intel. Mater. Syst. Struct., 11, 263, 10.1106/18CE-77K4-DYMG-RKBB
Cook, 2002
Dahl, 2008, Topology optimization for transient wave propagation problems in one dimension, Struct. Multidiscipl. Optim., 36, 585, 10.1007/s00158-007-0192-5
Holtz, 1997, An efficient implementation of adjoint sensitivity analysis for optimal control problems, Struct. Optim., 13, 223, 10.1007/BF01197450
Hulbert, 1992, Time finite element methods for structural dynamics, Int. J. Numer. Methods Engrg., 33, 307, 10.1002/nme.1620330206
Issa, 2008, Modal disparity and its experimental verification, J. Sound Vib., 311, 1465, 10.1016/j.jsv.2007.10.038
Kang, 2006, A review of optimization of structures subjected to transient loads, Struct. Multidiscipl. Optim., 31, 81, 10.1007/s00158-005-0575-4
Kirk, 1970
Krylov, 1997, Dynamics of elastic beams with controlled distributed stiffness parameters, Smart Mater. Struct., 6, 573, 10.1088/0964-1726/6/5/008
Lee, 2007, Damage detection by the topology design formulation using modal parameters, Int. J. Numer. Methods Engrg., 69, 1480, 10.1002/nme.1817
Li, 2004, Topology optimization of thermally actuated compliant mechanisms considering time-transient effect, Finite Elem. Anal. Des., 11, 1317, 10.1016/j.finel.2003.05.002
Lurie, 1997, Effective properties of smart elastic laminates and the screening phenomenon, Int. J. Solids Struct., 34, 1633, 10.1016/S0020-7683(96)00105-9
Lurie, 2006, Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure, J. Math. Anal. Appl., 314, 286, 10.1016/j.jmaa.2005.03.093
Lurie, 2007
Maestre, 2007, A spatio-temporal design problem for a damped wave equation, SIAM J. Appl. Math., 68, 109, 10.1137/07067965X
F. Maestre, P. Pedregal, Dynamic materials for an optimal design problem under the two-dimensional wave eqaution, Discrete Contin. Dyn. Syst. – Ser. A, in press.
Min, 1999, Optimal topology design of structures under dynamic loads, Struct. Optim., 17, 208
Nomura, 2007, Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique, Int. J. Numer. Methods Engrg., 71, 1261, 10.1002/nme.1974
Pedersen, 2004, Crashworthiness design of transient frame structures using topology optimization, Comput. Methods Appl. Mech. Engrg., 193, 653, 10.1016/j.cma.2003.11.001
Ramaratnam, 2006, A swithched stiffness approach for structural vibration control: theory and real-time implementation, J. Sound Vib., 291, 258, 10.1016/j.jsv.2005.06.012
Sorokin, 2000, The active control of vibrations of composite beams by parametric stiffness modulation, Eur. J. Mech. A – Solids, 19, 873, 10.1016/S0997-7538(00)00184-4
Svanberg, 1987, The method of moving asymptotes – a new method for structural optimization, Int. J. Numer. Methods Engrg., 24, 359, 10.1002/nme.1620240207
Turteltaub, 2001, Optimal material properties for transient problems, Struct. Multidiscipl. Optim., 22, 157, 10.1007/s001580100133
Turteltaub, 2005, Optimal non-homogeneous composites for dynamic loading, Struct. Multidiscipl. Optim., 30, 101, 10.1007/s00158-004-0502-0
Weekes, 2001, Numerical computation of wave propagation in dynamic materials, Appl. Numer. Math., 37, 417, 10.1016/S0168-9274(00)00045-3
Weekes, 2002, A stable scheme for the numerical computation of long wave propagation in temporal laminates, J. Comput. Phys., 176, 345, 10.1006/jcph.2002.6991
Yoon, 2007, Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation, Int. J. Numer. Methods Engrg., 70, 1049, 10.1002/nme.1900
Yoon, 2008, A monolithic approach for topology optimization of electrostatically actuated devices, Comput. Methods Appl. Mech. Engrg., 197, 4062, 10.1016/j.cma.2008.04.004