Abstract
The purpose of this study is to develop a procedure for performing a dynamic analysis on a beam supported with nonlinear distributed spring by the MLPG method. Equations of motion on a beam supported with nonlinear distributed spring have been derived using the MLPG method. The computational programs for statics, eigen-value analysis and time history responses were developed using the derived equations. Appropriate values on the order of a basis vector used in an approximate displacement, the number of nodal points and the sizes of local domains were found under carrying out static analyses. Then the validity of the formulations and the computational programs were verified by comparing the numerical solutions obtained using the developed computational programs with the analytical solutions and the numerical ones by the finite-element analysis.
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