多自由度非线性随机振动分析的<em>c</em>次方能量差方法

多自由度非线性随机振动分析的c次方能量差方法

1.
Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P R China;
2.
Institute of Mathematics and Department of Financial Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P R China

摘要: 将振型变换方法引入基于能量差准则的等效线性化方法,在此基础上针对多自由度非线性系统受非零均值平稳高斯激励的情形,建立c次方能量差方法的基本方程.给出了主要算式及c的取值,并结合算例分析了这一方法的精度.算例结果表明,该方法在计算精度和简便性方面均优于方程差方法.
- 非线性 /
- 随机振动 /
- 能量 /
- 等效线性化
Abstract: Basic equations of energy-tocth-power difference criterion were derived for multi-degreeof-freedom(MDOF) systems subjected to stationary Gaussian excitations with non-zero mean.Modal transform technique was used in order to reduce unknowns.Main computational formulae were presented and suggested values of c were given.Numerical results show that the method of this paper prevails over equation difference criterion both in accuracy and in simplicity.
- nonlinear /
- stochastic vibration /
- energy /
- equivalent linearization

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