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ODE-Solver-Oriented Computational Method for the structural dynamic analysis of Super Tall Buildings

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Journal of Mathematics and System Science 2014年第10期4卷 667-674页

作者： Xiancheng Wang Yaoqing Gong Department of Civil and Material Engineering Henan University of Urban Construction China School of Civil Engineering Henan Polytechnic University China

The paper is to introduce a computational methodology that is based on ordinary differential equations （ODE） solver for the structural systems adopted by a super tall building in its preliminary design stage so as to facilitate the designers to adjust the dynamic properties of the adopted structural system. The construction of the study is composed by following aspects. The first aspect is the modelling of a structural system. As a typical example, a mega frame-core-tube structural system adopted by some famous super tall buildings such as Taipei 101 building, Shanghai World financial center, is employed to demonstrate the modelling of a computational model. The second aspect is the establishment of motion equations constituted by a group of ordinary differential equations for the analyses of free vibration and resonant response. The solutions of the motion equations （that constitutes the third aspect） resorted to ODE-solver technique. Finally, some valuable conclusions are summarized.

关键词： ODE-solver-oriented computational methodology tall building structures structural dynamic analysis computational model of a mega frame-core-tube system ODE solver

Seismic response of a mid-story isolated structure considering SSI in mountainous areas under long-period earthquakes

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维普期刊数据库

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Earthquake Engineering and Engineering Vibration 2024年第1期23卷 151-161页

作者： Wan Feng Qin Shengwu Liu Dewen Zhao Tiange Zheng Yanping Shan Hang Li Zhiang Peng Fusong Xu Jingran Lei Min College of Construction Engineering Jilin UniversityChangchun 130015China College of Civil Engineering Southwest Forestry UniversityKunming 650024China College of civil engineering Southwest Jiaotong UniversityChengdu 610031China

At present,there is not much research on mid-story isolated structures in mountainous *** this study,a model of a mid-story isolated structure considering soil-structure interaction(SSI)in mountainous areas is established along with a model that does not consider *** long-period earthquake waves and two ordinary earthquake waves are selected as inputs for the dynamic time history analysis of the *** results show that the seismic response of a mid-story isolated structure considering SSI in mountainous areas can be amplified when compared with a structure that does not consider *** structure response under long-period earthquakes is larger than that of ordinary *** structure response under far-field harmonic-like earthquakes is larger than that of near-fault pulse-type *** structure response under near-fault pulse-type earthquakes is larger than that of far-field non-harmonic *** subjected to long-period earthquakes,the displacement of the isolated bearings exceeded the limit value,which led to instability and overturning of the *** structure with dampers in the isolated story could adequately control the nonlinear response of the structure,effectively reduce the displacement of the isolated bearings,and provide a convenient,efficient and economic method not only for new construction but also to retrofit existing structures.

关键词： SSI in mountainous areas long-period earthquakes mid-story isolated structure structural dynamic analysis

A lumped mass Chebyshev spectral element method and its application to structural dynamic problems

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Earthquake Engineering and Engineering Vibration 2022年第3期21卷 843-859页

作者： Wang Jingxiong Li Hongjing Xing Haojie Engineering Mechanics Institute Nanjing Tech UniversityNanjing 211816China Institute of Geophysics China Earthquake AdministrationBeijing 100081China

A diagonal or lumped mass matrix is of great value for time-domain analysis of structural dynamic and wave propagation problems,as the computational efforts can be greatly reduced in the process of mass matrix *** this study,the nodal quadrature method is employed to construct a lumped mass matrix for the Chebyshev spectral element method(CSEM).A Gauss-Lobatto type quadrature,based on Gauss-Lobatto-Chebyshev points with a weighting function of unity,is thus *** the aid of this quadrature,the CSEM can take advantage of explicit time-marching schemes and provide an efficient new tool for solving structural dynamic *** types of lumped mass Chebyshev spectral elements are designed,including rod,beam and plate *** performance of the developed method is examined via some numerical examples of natural vibration and elastic wave propagation,accompanied by their comparison to that of traditional consistent-mass CSEM or the classical finite element method(FEM).Numerical results indicate that the proposed method displays comparable accuracy as its consistent-mass counterpart,and is more accurate than classical *** the simulation of elastic wave propagation in structures induced by high-frequency loading,this method achieves satisfactory performance in accuracy and efficiency.

关键词： mass lumping Chebyshev spectral element method Gauss-Lobatto-Chebyshev points Gauss-Lobatto type quadrature structural dynamic analysis elastic wave propagation

Hydraulic calculation and dynamic analysis of columnar reversing gate

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Water Science and Engineering 2011年第3期4卷 294-304页

作者： You-an HU Meng WANG Miao-miao WANG Ge SONG Wen-xuan NIU Ting XU College of Mechanical and Electrical Engineering Hohai University Changzhou 213022 P. R. China

According to the hydraulic calculation principles of the orifice outflow, the discharge capacity of the columnar reversing gate under the partial opening condition was calculated and checked. Using ANSYS, a large finite element analysis software, the discharge process was simulated. The distribution rule of the velocities in the gate chamber and downstream channel was obtained. An FEM model of the columnar reversing gate was built, and the natural vibration properties of the gate were analyzed. Based on the Westergaard added mass method, the added mass caused by the fluid-structure coupling motion was taken into account, and the effects of the coupling interaction were discussed. The results show that the size of the small gates meets the demand for discharge capacity, the current in the gate chamber is quite turbulent, the trunnion and arms are obviously impacted by flow, and the effects of water on vibration characteristics are remarkable. The study provides a reference for the design and calculation of gates of the same type.

关键词： columnar reversing gate hydraulic calculation structural dynamic analysis finite element analysis