滞回恢复力模型中求折点的一种方法
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摘要
对于在循环往复荷载作用下 ,结构具有滞回特性的力与变形关系曲线的简化折线型恢复力模型提出了一种求刚度突变点 ,即折点的处理方法。推导出应用Wilson -θ法及Newmark - β法求解结构动力反应时折线型恢复力模型中的加载点和卸载点这两类折点的计算公式。该公式以结构动力方程为基础 ,计算折点时刻仅涉及结构在t时刻的动力特性、位移、速度及加速度反应 ,折点处结构位移值等已知量 ,计算中避免迭代 ,能得出较准确的折点出现时刻 ,且公式形式统一 ,便于计算机编程。
A method for computing rigidity turning points in broken line type hysteretic restoring force curves is presented.The restoring force curve is the simplified curve of the force vs.deformation relationship of the structures loaded by cyclic loading.The formulas are used to resolve the nonlinear dynamic equations are derived which compute both loading and unloading rigidity turning points as the Wilson-θ and Newamrk-β integration method.The turning points are computed using the formulas only relate some well known parameters,such as the dynamic characteristic,displacement,velocity,acceleration of the structures in the instantaneous,displacement in the location of turning point.Iteration calculation is avoided,and more accurate result can be obtained.The formulas with identical form are easy to form computin program.
A method for computing rigidity turning points in broken line type hysteretic restoring force curves is presented.The restoring force curve is the simplified curve of the force vs.deformation relationship of the structures loaded by cyclic loading.The formulas are used to resolve the nonlinear dynamic equations are derived which compute both loading and unloading rigidity turning points as the Wilson-θ and Newamrk-β integration method.The turning points are computed using the formulas only relate some well known parameters,such as the dynamic characteristic,displacement,velocity,acceleration of the structures in the instantaneous,displacement in the location of turning point.Iteration calculation is avoided,and more accurate result can be obtained.The formulas with identical form are easy to form computin program.
引文
[1]孙焕纯.高等计算结构动力学[M ].大连:大连理工大学出版社,1992.
[2]秦文欣,刘季.结构非线性动力分析中恢复力拐点的模糊数学处理方法[J].哈尔滨建筑工程学院学报,1988,:1-11.
[3]小高昭夫.耐震·耐风构造[M].日本:鹿岛出版社,1972.
[4]王建平,邹银生.结构非线性恢复力分析中的恢复力拐点的非迭代处理方法[A ].全国第三届地震工程会议论文集(Ⅲ),[C]林皋.大连:中国地震学会地震工程专业委员会,1990.1072-1078.
[5]胡聿贤地震工程学[M].北京:地震出版社,1988
[6]Clough.RayW .DynamicsofStructures[M ].SecondEdition,McGraw-Hill,Inc,1993.
[2]秦文欣,刘季.结构非线性动力分析中恢复力拐点的模糊数学处理方法[J].哈尔滨建筑工程学院学报,1988,:1-11.
[3]小高昭夫.耐震·耐风构造[M].日本:鹿岛出版社,1972.
[4]王建平,邹银生.结构非线性恢复力分析中的恢复力拐点的非迭代处理方法[A ].全国第三届地震工程会议论文集(Ⅲ),[C]林皋.大连:中国地震学会地震工程专业委员会,1990.1072-1078.
[5]胡聿贤地震工程学[M].北京:地震出版社,1988
[6]Clough.RayW .DynamicsofStructures[M ].SecondEdition,McGraw-Hill,Inc,1993.
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