Applied Mathematics and Mechanics

, Volume 19, Issue 2, pp 191–205

# Reciprocal theorem method for the forced vibration of elastic thick rectangular plates

• Li Huijian
• Fu Baolian
• Tan Wenfeng
Article

## Abstract

In this paper, reciprocal theorem method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner's theory.

The paper derives the dynamic basis solution of thick rectangular plates; and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method for calculating the steady-state responses of forced vibration of thick rectangular plates.

## Key words

reciprocal theorem method dynamic basic solution thick rectangular plate forced vibration

## References

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© Editorial Committee of Applied Mathematics and Mechanics 1980

## Authors and Affiliations

• Li Huijian
• 1
• Fu Baolian
• 1
• Tan Wenfeng
• 1
1. 1.Yanshan UniversityQinhuangdaoP.R. China