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Static analysis of elastic cable structures under mechanical load using discrete catenary theory

Fundamental Research 2023年第6期3卷 967-973页

作者： Weicheng Huang Dongze He Dezhong Tong Yuzhen Chen Xiaonan Huang Longhui Qin Qingguo Fei School of Mechanical Engineering Southeast UniversityNanjing 211189China Jiangsu Engineering Research Center of Aerospace Machinery Southeast UniversityNanjing 211189China Department of Mechanical and Aerospace Engineering University of CaliforniaLos AngelesCA 90095USA Department of Mechanical Engineering and Materials Science Yale UniversityNew HavenCT 06511USA

In this paper,the nonlinear mechanical response of elastic cable structures under mechanical load is studied based on the discrete catenary theory.A cable net is discretized into multiple nodes and edges in our numerical approach,which is followed by an analytical formulation of the elastic energy and the associated Hessian matrix to realize the dynamic simulation.A fully implicit framework is proposed based on the discrete differential geometry(DDG)theory.The equilibrium configuration of a target object is derived by adding damping force into the system,known as the dynamic relaxation method.The mechanical response of a single suspended cable is investigated and compared with the analytical solution for cross-validation.A more intricate scenario is further discussed in detail,where a structure consisting of multiple slender cables is connected through joints.Utilizing the robustness and efficiency of our discrete numerical framework,a systematic parameter sweep is performed to quantify the force displacement relationships of nets with the different number of cables and different directions of fibers.Finally,an empirical scaling law is provided to account for the rigidity of elastic cable net in terms of its geometric properties,material characteristics,component numbers,and cable orientations.Our results would provide new insight in revealing the connections between flexible structures and tensegrity structures,and could motivate innovative designs in both mechanical and civil engineered equipment.

关键词： cable structures Rigidity Solid mechanics Computational mechanics Numerical simulation Nonlinearity

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EIGENFREQUENCY ANALYSIS OF cable structures WITH INCLINED cableS

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Applied Mathematics and Mechanics(English Edition) 2006年第1期27卷 37-49页

作者： William Paulsen Greg Slayton Department of Computer Science and Mathematics Arkansas State University Arkansas 72467 USA

The approximate eigenfrequencies for the in-plane vibrations of a cable structure consisting of inclined cables, together with point masses at various points were computed. It was discovered that the classical transfer matrix method was inadequate for this task, and hence the larger exterior matrices were used to determine the eigenfrequency equation. Then predictions of the dynamics of the general cable structure based on the asymptotic estimates of the exterior matrices were made.

关键词： eigenfrequencies transfer matrices exterior matrices cable structures

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A CATENARY ELEMENT FOR THE ANALYSIS OF cable structures

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Applied Mathematics and Mechanics(English Edition) 1999年第5期20卷 70-72页

作者：彭卫孙炳楠唐锦春 Department of Civil Engineering Zhejiang University Hangzhou P R China

Based on analytical equations, a cat ena ry element is presented for the finite element analysis of cable structures. Com pared with usually used element(3_node element, 5_node element), a program with the proposed e... 详细信息

关键词： cable structures catenary elements tangent stiffness matrix

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The Study ＆ Application on Impact Dynamic Modeling of cable structures

The Study ＆ Application on Impact Dynamic Modeling of Cable...

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第三届国际机械工程与力学会议

作者： Yanhui AI Zifan FANG Jianhua WU Kongde HE Dalin ZHU Yi ZHANG School of Naval Architecture & Ocean Huazhong University of Science & Technology 710 Research Institute China Shipbuilding Industry Corporation College of Mechanical & Material Engineering China Three Gorges University

Based on the finite element method and the multi-body dynamic theory, the dynamic models of cable structure were studied in the paper. An impact dynamic model of cable structures was established by adding the contact constraint into the dynamic model of cable structure. The simulation environment of the multi-body dynamic model of cable structure impact system is consisted of an active cable structure device and a passive cable structure device. The research datum shows that the finite element cable structure model engender smaller error than the multi-body cable structure model, the former is suitable for the impacting process simulation of the cable structures and for the realizing the visualization dynamic simulation.

关键词： cable structures Impact Dynamic model Simulation technology

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A FUNDAMENTAL STUDY ON ANALYSIS OF SPACE cable structures

A FUNDAMENTAL STUDY ON ANALYSIS OF SPACE CABLE STRUCTURES

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Asia-Pacific Conference on Shell and Spatial structures

作者： TETSUYUKI TANAMI Center for Space structures Research Taiyo Kogyo CorporationTokyo 153Japan

＜正＞One method of how to solve space cable structures composed of cable and bar elements is illustratively carried out to a simple cable unit under the condition of self-stress,no compres- sion on each cable and giv... 详细信息

关键词： cable Generalized inverse cable structures

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Dynamic Analysis of Suspension Bridges and Full Scale Testing

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Open Journal of Civil Engineering 2012年第2期2卷 58-67页

作者： Serap Altin Kubilay Kaptan Semih S.Tezcan Bogazici University IstanbulTurkey Istanbul Aydin University IstanbulTurkey Civil Engineering Bogazici UniversityIstanbulTurkey

This paper is concerned with the earthquake analysis of suspension bridges, in which the effects of large deflections are taken into account. The first part of the study deals with an iteration scheme for the nonlinear static analysis of suspension bridges by means of tangent stiffness matrices. The concept of tangent stiffness matrix is then introduced in the frequency equation governing the free vibration of the system. At any equilibrium stage, the vibrations are assumed to take place tangent to the curve representing the force-deflection characteristics of the structure. The bridge is idealized as a three dimensional lumped mass system and subjected to three orthogonal components of earthquake ground motion producing horizontal, vertical and torsional oscillations. By this means a realistic appraisal is achieved for torsional response as well as for the other types of vibration. The modal response spectrum technique is applied to evaluate the seismic loading for the combination of these vibrations. Various numerical examples are introduced in order to demonstrate the method of analysis. The procedure described enables the designer to evaluate the nonlinear dynamic response of suspension bridges in a systematic manner.

关键词： Suspension Bridges Dynamic Analysis Tangent Stiffness cable structures Bridge Testing

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