环形梁塑性动力响应特性研究
The Dynamic Plastic Response Characteristics of Circular Beam
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摘要: 本文采用刚塑性假设,对环形悬臂梁在自由端受一刚性质量径向冲击时的塑性动力响应问题进行了分析与研究.给出了质点响应速度与移动塑性铰位置间的精确表达式,并由此发现了环形梁塑性动力响应的一些特殊性质.Abstract: In this paper the problem of a circular beam subjected to radial impact by a rigid mass at its tip in its own plane is investigaleil on the basis of rigid-perfectly plastic assumption. The analytical solution of the particle velocities is obtained as the junction of travelling plastic hinge location. By analysing the solution, some special properties of circular beam problem are found.
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[1] Parkes,E.W.,The permanent deformation of a cantilever struck transversely lit its tip.Prolc,R.Soc,Lond.,A228(1955),462-476. [2] Parkes,E.W.,Permanent deformation of encastre beam struck transversely at any point in its span,Proc.Instn Civ.Engrs.,10(1958),277-295. [3] Yu,T.X.,A quadrantal circular beam subjected to radial impact in its own plane at its tip by a rigid mass,Proc.R.Soc.Lond.,A400(1985),19-36. [4] Yu,T.X.,A reconsideration and some new results for the circular beam impact problem,Int.J.Impacl Engng.,4,4(1986) 221-228. [5] Tamuzh,V.P.,On a minimum principle in dynamics of rigid-plastic bodies,Prikl.Mat.Mekh.,26(1962),715-722. [6] 樊映川,《高等数学讲义》下册,第二版,人民教育出版社(1977),6-7. -
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