随机荷载下三角形板单元局部效应修正
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摘要
推导了随机荷载激励下三角形板单元考虑局部效应的精确的动力计算公式 ,建立了三角形单元局部效应的计算模型 ,从而为复杂边界结构的动力精确计算提供了一简便可行的方法。通过对一悬臂板进行结构动力时程分析及其局部效应修正 ,并与四边形板单元考虑局部效应[4]计算结果比较证明 :局部动力效应影响与加速度成正比 ,悬臂梁在忽略局部效应的情况下 ,所得动内力与理论值相差较大 ,因此结构设计中必须注意局部动力效应的影响
In this paper,the refined dynamic formulation and the computational model of triangular plate element under random excitation have been put forward, in which the local effect was considered.Whereby a simple and workable method used in refined dynamic calculation of structures with complicate borders has been provided.By conducting structure dynamic time process analysis and modifying local effect for a cantilever plate,and comparing with the computing results of quadrangle plate element under considering local effect,it has been proved that the local dynamic effect is directly proportion to the acceleration.If the local effect was ignored in cantilever,there would be large differences between dynamic internal forces and their theoretical values without the local effect.So the local dynamic effect has to be considered in design of some structures.
In this paper,the refined dynamic formulation and the computational model of triangular plate element under random excitation have been put forward, in which the local effect was considered.Whereby a simple and workable method used in refined dynamic calculation of structures with complicate borders has been provided.By conducting structure dynamic time process analysis and modifying local effect for a cantilever plate,and comparing with the computing results of quadrangle plate element under considering local effect,it has been proved that the local dynamic effect is directly proportion to the acceleration.If the local effect was ignored in cantilever,there would be large differences between dynamic internal forces and their theoretical values without the local effect.So the local dynamic effect has to be considered in design of some structures.
引文
[1]沈雄伟,曲乃泗,刘春城,曲淑英.任意荷载下梁单元局部效应修正[J].工程力学,2000,17(6):87-92.
[2]Anagnos-topoulosSA.在地震扰动下近海平台局部杆件的反应[A].国外地震工程近海平台专集(上),中国科学研究院工程力学研究所,1983.349-358.
[3]饶寿期.有限元法和边界元法基础[M].北京:北京航天航空大学出版社,1990.
[4]QuShuying.Studyonlocaldynamicaleffectofrectangularplateunderarbitraryexcitation[A].ProceedingsoftheFirstInternationalConferenceonMechanicalEngineeringICME[C],Shanghai:SciencePress,2000,10(1),364-370.
[2]Anagnos-topoulosSA.在地震扰动下近海平台局部杆件的反应[A].国外地震工程近海平台专集(上),中国科学研究院工程力学研究所,1983.349-358.
[3]饶寿期.有限元法和边界元法基础[M].北京:北京航天航空大学出版社,1990.
[4]QuShuying.Studyonlocaldynamicaleffectofrectangularplateunderarbitraryexcitation[A].ProceedingsoftheFirstInternationalConferenceonMechanicalEngineeringICME[C],Shanghai:SciencePress,2000,10(1),364-370.
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