TY - GEN
T1 - On nonlinear normal modes
AU - Shaw, Steven W.
AU - Pierre, Christophe
PY - 1992
Y1 - 1992
N2 - A method for determining the mode shapes of nonlinear vibratory systems is described. The method is a combination of Galerkin's method and invariant manifold techniques and is applicable to both discrete and distributed parameter systems. In this paper the basic theory is outlined and applied to determine the nonlinear mode shapes of a linear, Euler-Bernoulli beam attached to a nonlinear elastic foundation.
AB - A method for determining the mode shapes of nonlinear vibratory systems is described. The method is a combination of Galerkin's method and invariant manifold techniques and is applicable to both discrete and distributed parameter systems. In this paper the basic theory is outlined and applied to determine the nonlinear mode shapes of a linear, Euler-Bernoulli beam attached to a nonlinear elastic foundation.
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M3 - Conference contribution
AN - SCOPUS:0026990347
SN - 0791810925
T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
SP - 1
EP - 5
BT - Nonlinear Vibrations
T2 - Winter Annual Meeting of the American Society of Mechanical Engineers
Y2 - 8 November 1992 through 13 November 1992
ER -