高层筒体结构弹塑性地震反应分析的样条积层有限条法
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摘要
采用三次B样条积层有限条方法对结构进行离散,推导出结构的静平衡力、惯性力、地震力及其阻尼力的节点位移的表达式,由达朗贝尔原理,得到结构的动力平衡方程,采用预校正形式的N ewm ark法求解结构的动力方程。另外,根据等向强化准则,处理受压区混凝土材料及钢筋材料的弹塑性本构关系;应用分布裂缝模式,解决受拉区混凝土的开裂问题,由此实现了筒体结构的弹塑性地震反应分析,最后通过实例比较分析,验证了方法的正确性与高效性。
In this paper,the cubic B spline integrated layer finite stripe model is adopted to discretize the structure.On the basis of that,the static balance,the inertia,the earthquake and the damping forces for the structure are derived,which are represented by the node displacements.The dynamic equation for the structure is formulated by application of the Dalabert principle and solved by pre-adjustment Newmark method.In addition,the concrete under pressure and the steel are both handled by the elastic-plastic model of the uniform hardening rule,the concrete under tension is treated by the smear cracking model.Through that,the analysis of the inelastic response of the structure to earthquake is implemented.Finally,a real example is given to illustrate the validity and high efficiency of the proposed method.
In this paper,the cubic B spline integrated layer finite stripe model is adopted to discretize the structure.On the basis of that,the static balance,the inertia,the earthquake and the damping forces for the structure are derived,which are represented by the node displacements.The dynamic equation for the structure is formulated by application of the Dalabert principle and solved by pre-adjustment Newmark method.In addition,the concrete under pressure and the steel are both handled by the elastic-plastic model of the uniform hardening rule,the concrete under tension is treated by the smear cracking model.Through that,the analysis of the inelastic response of the structure to earthquake is implemented.Finally,a real example is given to illustrate the validity and high efficiency of the proposed method.
引文
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[3]杨淑珍.钢框架-混凝土核心筒混合结构弹塑性地震反应分析方法[D].北京:北京工业大学,2005.
[4]刘涛,杨凤鹏.精通ANSYS[M].北京:清华大学出版社,2002.
[5]吕西林,金国芳,吴晓涵.钢筋混凝土结构非线性有限元理论与应用[M].上海,同济大学出版社,1997.
[6]宋启根,范志良,朱万福.钢筋混凝土计算力学[M].南京,东南大学出版社,1996.
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[2]陆兢,张铜生,崔鸿超.大连远洋大厦弹塑性时程分析[J].建筑结构,1998,(2):14—19.
[3]杨淑珍.钢框架-混凝土核心筒混合结构弹塑性地震反应分析方法[D].北京:北京工业大学,2005.
[4]刘涛,杨凤鹏.精通ANSYS[M].北京:清华大学出版社,2002.
[5]吕西林,金国芳,吴晓涵.钢筋混凝土结构非线性有限元理论与应用[M].上海,同济大学出版社,1997.
[6]宋启根,范志良,朱万福.钢筋混凝土计算力学[M].南京,东南大学出版社,1996.
[7]D R J.欧文,E.辛顿.塑性力学有限元——理论与应用[M].曾国平,等译.北京:兵器工业出版社,1989.
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