双参数弹性地基上圆薄板的非线性振动

Nonlinear vibration of thin circular plate on the two-parameter elastic foundation

以作者提出的由chebyshev多项式和三角函数构成的复合函数为振型试函数,应用布勃诺夫——迦辽金法研究了双参数地基上圆薄板的非轴对称大挠度振动问题。借助于chebyshev多项式和三角函数的优良性能,本文的近似解计算非常简便,而且适用广泛。几个算例表明,近似解的精度也较高。

This paper takes the complex function presented by writer, composed of Chebyshev polynomial and angle function, as trial function model, and discusses unsymmetrical large amplitude response of thin circular plate on the two-parameter foundation using Galerkin Procedure. By use of the advantages of Chebyshev polynomiality. It is demonstrated by calculating examples that approximate solutions have also higher accuracy.