THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (2): 1197-1207.

THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

顾祥珍, 赵玉祥, 钱尔旋

Luoyang, Henan

收稿日期:1983-01-19 出版日期:1984-03-18 发布日期:1984-03-18

THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

Gu Xiang-zhen, Zhao Yu-xiang, Chien Er-xuan

Luoyang, Henan

Received:1983-01-19 Online:1984-03-18 Published:1984-03-18

摘要/Abstract

摘要： The vibration of rod system in the elastic continuous medium is a problem which is often met and also a composite solution problem of elastic dynamics and structural dynamics. It seems rather difficult and complex to find solutions by general method. Using Lagrangian method of multipliers, we give here the generalized functionals concerning this kind of plane problem and show how to apply the method presented through examples.

关键词: shallow water flow, pollutant diffusion, TVD scheme, finite-volume method, numerical simulation

Abstract: The vibration of rod system in the elastic continuous medium is a problem which is often met and also a composite solution problem of elastic dynamics and structural dynamics. It seems rather difficult and complex to find solutions by general method. Using Lagrangian method of multipliers, we give here the generalized functionals concerning this kind of plane problem and show how to apply the method presented through examples.

Key words: shallow water flow, pollutant diffusion, TVD scheme, finite-volume method, numerical simulation

顾祥珍;赵玉祥;钱尔旋. THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(2): 1197-1207.

Gu Xiang-zhen;Zhao Yu-xiang;Chien Er-xuan . THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(2): 1197-1207.

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THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

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