| 弹性地基有限长梁的动力学建模 |
| |
| 引用本文： | 马建军,王连华,赵跃宇.弹性地基有限长梁的动力学建模[J].中国科学(G辑),2013(6):765-771. |
| |
| 作者姓名： | 马建军 王连华 赵跃宇 |
| |
| 作者单位： | [1]湖南大学土木工程学院,长沙410082 [2]湖南大学建筑安全与节能教育部重点实验室,长沙410082 |
| |
| 基金项目： | 国家自然科学基金（批准号：11032004,10972073）; 新世纪优秀人才支持计划（编号：NCET-09-0335）资助项目 |
| |
| 摘 要： | 弹性地基梁模型的动力响应对于土木工程抗震和土-结构动力相互作用的研究均有非常重要的意义.本文考虑梁的不可伸长条件作用效应,分别运用Newton法和Hamilton变分原理建立了弹性地基有限长梁的精细化动力学模型.由于考虑了地基反力的二次弯矩效应,在动力学方程中包括了相互作用导致的平方非线性.最后研究了弹性地基梁的主共振响应,并分析了二次弯矩对非线性响应的影响.
|
| 关 键 词： | 弹性地基梁 Newton法 Hamilton原理 不可伸长条件 二次弯矩 |
Dynamic modeling of the finite-length beam on the elastic foundation |
| |
| Authors: | MA JianJun WANG LianHua ＆ ZHAO YueYu |
| |
| Institution: | 1 College of Civil Engineering, Hunan University, Changsha 410082, China; 2 Key Laboratory of Building Safety and Energy Efficiency, Ministry of Education, Changsha 410082, China |
| |
| Abstract: | In civil engineering, the vibration problem of the beam on the elastic foundation plays an important role in the analysis of some soil-structure interaction problems. Considering the inextensional condition, the motion equation of the beam on the elastic foundation is derived via the Newton＇s method and Hamilton principle. Due to the second-order moment of the subgrade reaction, the equation of motion includes the quadratic nonlinearity. Moreover, the primary resonance of the beam on the elastic foundation is investigated, and the effect of the second-order moment on the nonlinear response is examined. |
| |
| Keywords: | beam on elastic foundation Newton＇s second law of motion Hamilton principle inextensional condition second-order moment |
| 本文献已被 维普 等数据库收录！ |
