Premium
The dynamic analysis of a suspended cable due to a moving load
Author(s) -
Wu JongShyong,
Chen ChiChing
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620281011
Subject(s) - moving load , discretization , rigidity (electromagnetism) , finite element method , dynamic load testing , newton's method , suspension (topology) , newmark beta method , mathematics , structural engineering , control theory (sociology) , engineering , mathematical analysis , computer science , physics , nonlinear system , control (management) , quantum mechanics , homotopy , artificial intelligence , pure mathematics
The dynamic behaviour of a saggy suspension cable under a moving load was investigated. First of all, the updated Lagrangian formulation and the finite element method were used to derive the property matrices of a saggy suspension cable in order to define the discretized equations of motion. Then, the Jacobi method was applied to the determination of the natural frequencies and the mode shapes of the suspended cable. The moving‐load‐induced dynamic responses of the saggy suspended cable were obtained by using the Newmark direct integration method incorporated with the Newton–Raphson iteration technique. The influence of some pertinent factors, such as speed of moving load, ratio of axial rigidity to total cable weight ( AE / 0 m̄g 0 L ) and ratio of moving load mass to total cable mass, is the key point of the dynamic analysis.