| 初始载荷对梁静力特性影响的非线性分析 |
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| 引用本文： | 杨治国,张家玮.初始载荷对梁静力特性影响的非线性分析[J].城市道桥与防洪,2011(5):192-196,248. |
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| 作者姓名： | 杨治国 张家玮 |
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| 作者单位： | 兰州交通大学土木工程学院; |
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| 基金项目： | 高校基本科研业务费资助项目(620014) |
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| 摘 要： | 应用势能驻值原理,推导出了初始载荷对梁静力特性影响的非线性控制微分方程,得到了悬臂梁和一端固定一端简支梁静力计算的闭合解。引入了初始载荷影响系数以反映初始载荷的非线性效应,讨论了初始载荷的大小、梁的约束条件、惯性矩、跨度对初始载荷影响系数的影响。结果表明:初始载荷的存在会使梁在后续载荷作用下的静力反应减小,其减小程度与初始载荷的大小、梁的刚度及约束条件有关;在设计轻型和柔性结构时,应适当考虑初始载荷的这种非线性影响。
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| 关 键 词： | 工程结构 静力特性 势能驻值原理 微分方程闭合解 初始载荷 非线性分析 初始载荷影响系数 |
Nonlinear Analysis on Influence of Initial Load on Static Characteristics of Beams |
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| Yang Zhiguo,Zhang Jiawei.Nonlinear Analysis on Influence of Initial Load on Static Characteristics of Beams[J].Urban Roads Bridges & Flood Control,2011(5):192-196,248. |
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| Authors: | Yang Zhiguo Zhang Jiawei |
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| Institution: | Yang Zhiguo,Zhang Jiawei |
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| Abstract: | Based on the principle of resident potential energy,a nonlinear control differential equation of the initial load to influence the static characteristics of beam is educed and the closed solutions of static calculation for both cantilever beams and beams fixed at one end and simply supported at the other end are given.The initial load influence factor is introduced to reflect the nonlinear effect of initial load,the influences of the magnitude of initial load,inhibiting conditions,inertia moment and span of... |
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| Keywords: | engineering structure static characteristic principle of stationary potential energy closed solution of differential equation initial load nonlinear analysis initial load influence coefficient |
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