悬挂结构地震反应的样条有限条分析
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摘要
在符拉索夫开口薄壁杆件理论平面假定的基础上 ,对核筒采用三次B样条有限条方法构造连续化模型 ,并分别计算其动、势能 .针对悬挂部分 ,分别应用连续梁的三弯矩方程和悬吊体系理论 ,计算其动、势能 .然后 ,由拉格朗日公式 ,得到悬挂结构体系的动力方程 ,并用Wilsonθ法求解 .最后 ,结合算例得到了具有实际意义的结论 .
The derivation of both potential and kinetic energy expressions is presented for the suspension structure with story vibration absorption apparatus. With respect to the core tube, based on the plane assumption in the Vlasov theory for thin walled beams with open cross sections, the spline finite stripe method is employed with the cubic B spline as the displacement coordinate function. Regarding to the suspension parts, FM method and the suspension system theory are applied, respectively. Afterwards, the Lagrange equation is taken to set up the dynamic equations of the structure. Finally, the Wilson θ method is used to altain the dynamic responses of the structure under the earthquake actions. Through the numerical example, the practical conclusions are drawn.
The derivation of both potential and kinetic energy expressions is presented for the suspension structure with story vibration absorption apparatus. With respect to the core tube, based on the plane assumption in the Vlasov theory for thin walled beams with open cross sections, the spline finite stripe method is employed with the cubic B spline as the displacement coordinate function. Regarding to the suspension parts, FM method and the suspension system theory are applied, respectively. Afterwards, the Lagrange equation is taken to set up the dynamic equations of the structure. Finally, the Wilson θ method is used to altain the dynamic responses of the structure under the earthquake actions. Through the numerical example, the practical conclusions are drawn.
引文
1 秦 荣 .结构力学的样条函数方法 .广西人民出版社 ,1985 .1～ 45
2 夏逸鸣 .高层悬挂结构及其层间减震体系的减震计算研究 .[学位论文 ].天津 :天津大学 ,1998
3 王前信 ,卢书辉 .悬吊体系的地震力 .北京 :地震出版社 ,1981.1～ 5 4
4 严士超 ,汤型桥 .样条函数———有限元方法分析电视塔地震反应 .建筑结构学报 ,1992 ,(4 ) :49～ 5 9
5 杨允表 .高层悬挂结构体系及其力学性能的研究 .[学位论文 ].南京 :东南大学 ,1996
2 夏逸鸣 .高层悬挂结构及其层间减震体系的减震计算研究 .[学位论文 ].天津 :天津大学 ,1998
3 王前信 ,卢书辉 .悬吊体系的地震力 .北京 :地震出版社 ,1981.1～ 5 4
4 严士超 ,汤型桥 .样条函数———有限元方法分析电视塔地震反应 .建筑结构学报 ,1992 ,(4 ) :49～ 5 9
5 杨允表 .高层悬挂结构体系及其力学性能的研究 .[学位论文 ].南京 :东南大学 ,1996
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