摘要
采用拉普拉斯变换和海维赛德第一类展开式,推导了有阻尼单自由度系统的强迫振动通解.应用莱布尼茨公式,严格证明了该强迫振动解析解.有阻尼单自由度系统强迫振动解析解的构建,有助于分析有阻尼多自由度系统.
The forcing vibrating general solution of the damping single free degree system is derived from Laplace transform and Heaviside first expansion. This forcing vibrating analytical solution is demonstrated stringently by using Leibniz formula. Establishing the forcing vibrating analytical solution of the damping single free degree system helps to analyze the damping multiple free degree system.
作者
田红亮
陈谦
Tian Hongliang;Chen Qian(College of Mechanical & Power Engineering,China Three Gorges Univ.,Yichang 443002,China)
出处
《三峡大学学报（自然科学版）》
CAS
北大核心
2019年第5期103-107,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金面上资助项目(51275273)
2019年三峡大学研究生课程建设项目(SDKC201908)
关键词
拉普拉斯变换
卷积
海维赛德第一类展开式
齐次方程
特解
Laplace transform
convolution
Heaviside first expansion
homogeneous equation
special solution
