A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force
نویسندگان
چکیده
منابع مشابه
Vibration Analysis of a Nonlinear Beam Under Axial Force by Homotopy Analysis Method
In this paper, Homotopy Analysis Method is used to analyze free non-linear vibrations of a beam simply supported by pinned ends under axial force. Mid-plane stretching is also considered for dynamic equation extracted for the beam. Galerkin decomposition technique is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differenti...
متن کاملA nodal integral method for quadrilateral elements
1Landau Associates, 130 2nd Ave South, Edmonds, WA 98020, U.S.A. 2Civil and Environmental Engineering and National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, 205 North Mathews Ave Urbana, IL 61801, U.S.A. 3Department of Nuclear, Plasma and Radiological Engineering, University of Illinois at Urbana-Champaign, 216 Talbot Lab, 104 S. Wright St., Urbana, IL ...
متن کاملDiscontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow
We present a comprehensive assessment of nodal and hybrid modal/nodal discontinuous Galerkin (DG) finite element solutions on a range of unstructured meshes to nonlinear shallow water flow with smooth solutions. The nodal DG methods on triangles and a tensor-product nodal basis on quadrilaterals are considered. The hybrid modal/nodal DG methods utilize two different synergistic polynomial bases...
متن کاملNonlinear Vibration Analysis of a cantilever beam with nonlinear geometry
Analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. According to this, an impressive analytical method which is called Modified Iteration Perturbation Method (MIPM) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. This new method is combined by the Mickens and Iteration methods. Moreover, this method don...
متن کاملNonlinear f Method for Beam - Beam Simulation
We have developed an e cacious algorithm for simulation of the beam-beam interaction in synchrotron colliders based on the nonlinear f method, where f is the much smaller deviation of the beam distribution from the slowly evolving main distribution f0. In the presence of damping and quantum uctuations of synchrotron radiation it has been shown that the slowly evolving part of the distribution f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2016
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2016/8980676