An Explicit Stiffness Matrix for Parabolic Beam Element
نویسندگان
چکیده
منابع مشابه
Explicit Stiffness of Tapered and Monosymmetric i Beam-Columns
A formulation for finite element analysis of tapered and monosymmetric I shaped beam-columns is presented. This is a general way to analyze these types of complex elements. Based upon the formulation, member stiffness matrix is obtained explicitly. The element considered has seven nodal degrees of freedom. In addition, the related stability matrix is found. Numerical studies of the aforementio...
متن کاملImplicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is based on linear multistep schemes. One part of the equation is discretized implicitly and the other explicitly. The resulting schemes are stable, consistent and very efficient, since their implementation requires at eac...
متن کاملCoupled Bending-Longitudinal Vibration of Three Layer Sandwich Beam using Exact Dynamic Stiffness Matrix
A Newtonian (vectorial) approach is used to develop the governing differential equations of motion for a three layer sandwich beam in which the uniform distribution of mass and stiffness is dealt with exactly. The model allows for each layer of material to be of unequal thickness and the effects of coupled bending and longitudinal motion are accounted for. This results in an eighth order ordina...
متن کاملFast Stiffness Matrix Calculation for Nonlinear Finite Element Method
We propose a fast stiffness matrix calculation technique for nonlinear finite element method (FEM). Nonlinear stiffness matrices are constructed usingGreen-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms discarded from small deformations. We implemented a linear and a nonlinear finite element method with the same material properties to examine the di...
متن کاملAn explicit formula for the matrix logarithm
We present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment {I(1 − t) + At : t ∈ [0, 1]} joining the identity matrix I (at t = 0) to any real matrix A (at t = 1) having no eigenvalues on the closed negative real axis. This extends to the matrix logarithm the well known Putzer’s method for evaluating the matrix exponential. Key-words...
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: Latin American Journal of Solids and Structures
سال: 2016
ISSN: 1679-7825
DOI: 10.1590/1679-78252820