組積剛体系の衝突転倒振動の計算法 : その 2 3 方向地動による立体振動

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Computational methods are discussed for analysing nonlinear dynamic response of columns consisting of stacked block elements. As well as previous report (Part I : Dynamics within Vertical Plane) each element is treated as a rigid body. In that report the analytical model considers a series of columns placed in a vertical plane with boundary structures. In the present report columns and boundary structures need not be placed in a vertical plane. Two dimensional dynamic analysis of Part I is extended to three dimensional one. The characteristics and assumptions of the method are as follows : (1) Blocks move as rigid bodies and the upper and lower blocks are connected at one corner point. (2) Blocks are allowed only to rotate around two horizontal axis, and restricted neither to slip nor twist on the contact surface. (3) The principle of conservation of translational and rotational momenta is applied for the movements of blocks. (4) The collision theory based on a coefficint of restitution is applied for the collision of blocks. (5) 3-dimensional seismic excitation is available for two horizontal and one vertical directions. Theoretical equations such as equations of motion or equations of velocity change are derived from these assumptions. By using these equations, preliminary computer code "COLLAN 3" has been developed selecting appropriate numerical method such as Newmark's β=0 method as numerical integration. Several simple examples are presented to show feasibility of the code. These are free vibration of single prisms and forced vibration of stacked column surrounded by walls.
社団法人日本建築学会の論文
1981-01-30

組積剛体系の衝突転倒振動の計算法 : その 2 3 方向地動による立体振動

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