无约束平面框架结构冲击响应分析(Ⅰ)——公式推导

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

1.
同济大学结构工程与防灾研究所, 上海 200092;2.同济大学空天技术中心,上海 200092;3.日本近畿大学理工学部建筑学科, 日本大阪 577_8502

基金项目: 国家杰出青年科学基金资助项目(59925820)

Analysis on Impact Responses of an Unrestrained Planar Frame Structure(Ⅰ)—Formula Derivation

1.
Research Institution of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, P. R. China;

摘要: 运用广义Fourier级数方法推导了无约束平面框架结构受运动刚体冲击时的瞬态动力响应公式，利用这些公式得到冲击系统动力响应解析解．在公式推导过程中得出结构系统中弹性响应的动量之和为零的结论．从公式推导可以看出，模态分析法同样可以用来解决此类冲击问题．
- 无约束平面框架结构 /
- 冲击响应 /
- 刚性响应 /
- 弹性响应
Abstract: The generalized Fourier-series method was used to derive the impact responses formula of an unrestrained planar frame structure when subjected to an impact of a moving rigid-body.By using these formula,the analytic solutions of dynamic responses of the contact-impact system can be obtained.During the derivation,the momentum sum of elastic responses of the contact-impact system is demonstrated to be zero.From the derivation,it is seen that the modal method can also be used to solve this kind of impact problem.
- unrestrained planar frame structure /
- impact /
- rigid response /
- elastic response

[1]	Doyle J F.Wave Propagation in Structures[M].New York:Springer-Verlag,1989,7—156.
[2]	Pao Y H,Keh D C,Howard S M.Dynamic response and wave propagation in plane trusses and frames[J].AIAA J,1999,37(5)：594—603. doi: 10.2514/2.778
[3]	郑海涛.无约束结构的冲击瞬态响应和应力波传播[D].硕士学位论文.上海：同济大学，2002，6—33.
[4]	Huang T C.The effect of rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions[J].Journal of Applied Mechanics,1961,28(4)：579—584. doi: 10.1115/1.3641787
[5]	克拉夫 R W,彭津 J.结构动力学[M].王光远等译.北京：科学出版社,1981,204—216.