NON-LINEAR VIBRATION OF RECTANGULAR RETICULATED SHALLOW SHELL STRUCTURES

Abstract

Abstract: This paper deals with non-linear vibration of rectangular reticulated shallow shells by applying non-linear elastic theory of such structures established by the author. Us-ing the assumed (generalized) Fourier series solutions for transverse deflection (latticejoint transverse displacement)and force function,weighted means of the trial functions lead to the relations among the coefficients related to the solutions and vibration equ-ation which determines the unknown time function,and then the amplitude -frequeney relations for free vibration and forced vibration due to harmonic force are derived withthe aid of the regular perturbation method and Galerkin procedure,respectively. Nu-merical examples are given as well.

Key words: confluent channels, dividing channels, backwater effect, flood peak meeting, the Yangtze River, rectangular reticulated shallow shells , non-linear, vibration, char-acteristic amplitude-frequency relation, beam vibration eigenfunctions

Nie Guo-hua. NON-LINEAR VIBRATION OF RECTANGULAR RETICULATED SHALLOW SHELL STRUCTURES. Applied Mathematics and Mechanics (English Edition), 1994, 15(6): 525-535.

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