一种求解局部非线性结构稳态响应的方法

为了降低求解局部非线性结构稳态响应的计算量,基于子结构和阻抗缩聚提出了一种用于求解局部非线性结构稳态响应的计算方法.将局部非线性结构分解为线性子结构和非线性子结构,利用谐波平衡构造各个子结构的阻抗方程,对线性子结构进行缩聚,将局部非线性动力学方程转化为求解一组非线性代数方程组问题,通过迭代求解非线性代数方程组,求解系统的稳态响应.

Evaluation for Steady State Response of Systems with Local Nonlinearities

Direct time integrations are usually used to determine the response of systems with local nonlinearities, which are computationally expensive to predict the steady state response. To reduce the computational tasks significantly, a new approach is proposed to calculate the steady state response of systems with local nonlinearities. based on substructures and impedance reduction. The whole structure is divided into linear and nonlinear structures, and their impedance equations can be obtained with harmonic balance method. Subsequently, the equations of linear substructures are reduced by impedance reduction. Then the dynamical equations of the system are converted into a set of nonlinear equations. And the steady state response of the system can be determined by solving the nonlinear equations iteratively.