Multiscale, Multiphenomena Modeling and Simulation at the Nanoscale: On Constructing Reduced-Order Models for Nonlinear Dynamical Systems With Many Degrees-of-Freedom
Tóm tắt
Từ khóa
Tài liệu tham khảo
Rudd, R. E., and Broughton, J. Q., 1999, “Atomistic Simulation of MEMS Resonators Through the Coupling of Length Scales,” J. Model. Sim. Microsyst., 1, p. 29.
Rudd, R. E., and Broughton, J. Q., 2000, “Concurrent Coupling of Length Scales in Solid State Systems,” Phys. Status Solidi B, 217(1), pp. 251–281.
Dowell, E. H., and Hall, K. C., 2001, “Modeling of Fluid-Structure Interaction,” Annu. Rev. Fluid Mech., 33, pp. 445–490.
Bolotin, V. V., 1963, Nonconservative Problems of the Elastic Theory of Stability, Pergamon Press, New York.
Dowell, E. H., 1975, Aeroelasticity of Plates and Shells, Kluwer, Dordrecht, The Netherlands.
Dowell, E. H., and Ilgamov, M., 1988, Studies in Nonlinear Aeroelasticity, Springer-Verlag, New York.
Pescheck, E., Pierre, C., and Shaw, S. W., 2001, “Accurate Reduced Order Models for a Simple Rotor Blade Model Using Nonlinear Normal Modes,” Math. Comput. Modell., 33(10–11), pp. 1085–1097 (also see references therein to the earlier literature on nonlinear normal modes).
Lyon, R. H., and De Jong, R. G., 1995, Theory and Applications of Statistical Energy Analysis, Butterworth-Heinemann, Boston.
Dowell, E. H., and Tang, D. M., 1998, “The High Frequency Response of a Plate Carrying a Concentrated Mass/Spring System,” J. Sound Vib., 213(5), pp. 843–864 (also see references therein to the earlier literature on asymptotic modal analysis).
Craig, R. R, 1981, Structural Dynamics: An Introduction to Computer Methods, John Wiley and Sons, New York, Chap. 19 (Professor Craig is one of the pioneers in component mode analysis and this book provides a very readable introduction to the fundamental concepts).
Dowell, E. H. , 1972, “Free Vibrations of an Arbitrary Structure in Terms of Component Modes,” ASME J. Appl. Mech., 39, pp. 727–732.
Castanier, M. P., Tan, Y. C., and Pierre, C., 2001, “Characteristic Constraint Modes for Component Mode Synthesis,” AIAA J., 39(6), pp. 1182–1187.
Grandbois, M., Beyer, M., Rief, M., Clausen-Schaumann, H., and Gaub, H. E., 1999, “How Strong Is a Covalent Bond?,” Science, 283, pp. 1727–1730.
Burton, T. D., Hemez, and Rhee, W., 2000, “A Combined Model Reduction/SVD Approach to Nonlinear Model Updating,” Proceedings of IMAC, Society for Experimental Mechanics, Bethel, CT, pp. 116–123.
Friswell, M. I., Penny, J. E. T., and Garvey, S. D., 1996, “The Application of the IRS and Balanced Realization Methods to Obtain Reduced Models of Structures With Local Non-Linearities,” J. Sound Vib., 196(4), pp. 453–468.
Tongue, B. H., and Dowell, E. H., 1983, “Component Mode Analysis for Nonlinear, Nonconservative Systems,” ASME J. Appl. Mech., 50, pp. 204–209.
Ibrahimbegovic, A., and Wilson, E. L., 1990, “A Methodology for Dynamic Analysis of Linear Structure Foundation Systems With Local Nonlinearities,” Earthquake Eng. Struct. Dyn., 19(8), pp. 1197–1208.
Haile, J. M., 1992, Molecular Dynamics Simulation, John Wiley and Sons, New York.