A nonlinear semi-analytical scheme is proposed for investigating the finiteamplitude nonlinear sloshing in a horizontally baffled rectangular liquid container under the seismic excitation.The sub-domain method is deve...A nonlinear semi-analytical scheme is proposed for investigating the finiteamplitude nonlinear sloshing in a horizontally baffled rectangular liquid container under the seismic excitation.The sub-domain method is developed to analytically derive the modal behaviors of the baffled linear sloshing.The viscosity dissipation effects from the interior liquid and boundary layers are considered.With the introduction of the generalized time-dependent coordinates,the surface wave elevation and velocity potential are represented by a series of linear modal eigenfunctions.The infinite-dimensional modal system of the nonlinear sloshing is formulated based on the Bateman-Luke variational principle,which is further reduced to the finite-dimensional modal system by using the NarimanovMoiseev asymptotic ordering.The base force and overturning moment induced by the nonlinear sloshing are derived as the functions of the generalized time-dependent coordinates.The present results match well with the available analytical,numerical,and experimental results.The paper examines the surface wave elevation,base force,and overturning moment versus the baffle parameters and excitation amplitude in detail.展开更多
以一种新方法建立了俯仰激励下圆柱贮箱类液固耦合系统的动力学方程。对液体子系统和结构子系统分别得到压力体积分形式的 L agrange函数和标准形式 L agrange函数 (动能减去势能 ) ,由变分方程和 L agrange方程可以建立系统的动力学方...以一种新方法建立了俯仰激励下圆柱贮箱类液固耦合系统的动力学方程。对液体子系统和结构子系统分别得到压力体积分形式的 L agrange函数和标准形式 L agrange函数 (动能减去势能 ) ,由变分方程和 L agrange方程可以建立系统的动力学方程。通过数值仿真发现 ,在一定的激励幅值和频率下 ,该耦合系统会出现零点漂移。展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.51978336 and11702117)。
文摘A nonlinear semi-analytical scheme is proposed for investigating the finiteamplitude nonlinear sloshing in a horizontally baffled rectangular liquid container under the seismic excitation.The sub-domain method is developed to analytically derive the modal behaviors of the baffled linear sloshing.The viscosity dissipation effects from the interior liquid and boundary layers are considered.With the introduction of the generalized time-dependent coordinates,the surface wave elevation and velocity potential are represented by a series of linear modal eigenfunctions.The infinite-dimensional modal system of the nonlinear sloshing is formulated based on the Bateman-Luke variational principle,which is further reduced to the finite-dimensional modal system by using the NarimanovMoiseev asymptotic ordering.The base force and overturning moment induced by the nonlinear sloshing are derived as the functions of the generalized time-dependent coordinates.The present results match well with the available analytical,numerical,and experimental results.The paper examines the surface wave elevation,base force,and overturning moment versus the baffle parameters and excitation amplitude in detail.
文摘以一种新方法建立了俯仰激励下圆柱贮箱类液固耦合系统的动力学方程。对液体子系统和结构子系统分别得到压力体积分形式的 L agrange函数和标准形式 L agrange函数 (动能减去势能 ) ,由变分方程和 L agrange方程可以建立系统的动力学方程。通过数值仿真发现 ,在一定的激励幅值和频率下 ,该耦合系统会出现零点漂移。
