A support hyperplane method is presented to find the response set defined for a linear time invariant vibration system under the excitations modeled by some convex sets. 對激勵由凸集合建模的線性振動系統提出了響應集的概念，將數學上的微分包含問題簡化為求解多自由度振動系統的響應集問題。
The response of a two-degree-of-freedom vibro-impact system under stochastic excitation can be obtained by using stochastically excited and dissipated Hamiltonian system theory. 本文應用隨機激勵的耗散的哈密頓系統理論研究了二自由度碰撞振動系統的隨機響應。
