非线性随机振动的模拟：能量守恒律的应用
Modeling nonlinear random vibration: Implication of the energy conservation law
摘要：
考虑了高斯和泊松白噪声激励下的非线性随机振动。该模型是基于随机微分方程，并相应的随机积分的定义，以这样一种方式，即满足能量守恒律。结果表明，Stratonovich积分和Di Paola-Falsone积分分别适用于高斯和泊松白噪声激励，以使模型满足基本物理定律（例如，节能）。数值例子来说明理论结果。
英文摘要：
Nonlinear random vibration under excitations of both Gaussian and Poisson white noises is considered. The model is based on stochastic differential equations, and the corresponding stochastic integrals are defined in such a way that the energy conservation law is satisfied. It is shown that Stratonovich integral and Di Paola-Falsone integral should be used for excitations of Gaussian and Poisson white noises, respectively, in order for the model to satisfy the underlining physical laws (e.g., energy conservation). Numerical examples are presented to illustrate the theoretical results.
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