Exact finite element formulation in generalized beam theory
نویسندگان
چکیده
منابع مشابه
A stabilized finite element formulation for advection-diffusion using the generalized finite element framework
The following work presents a generalized (extended) finite element formulation for the advection–diffusion equation. Using enrichment functions that represent the exponential nature of the exact solution, smooth numerical solutions are obtained for problems with steep gradients and high Peclet numbers (up to Pe = 25) in one and two-dimensions. As opposed to traditional stabilized methods that ...
متن کاملOn the Corotational Beam Element Formulation in Large Deformation Analysis
This paper sheds more light on the co-rotational element formulation for beams with uniform cross-section. The co-rotational elements are commonly used in problems in which a structure undergoes a large deformation. In this study, the foregoing element obeys the Euler-Bernoulli beam assumptions. Unlike the formulations presented in the literature, in this paper, a number of local nodal coordina...
متن کاملQuasilocal formulation of non-Abelian finite-element gauge theory.
Recently it was shown how to formulate the finite-element equations of motion of a non-Abelian gauge theory, by gauging the free lattice difference equations, and simultaneously determining the form of the gauge transformations. In particular, the gauge-covariant field strength was explicitly constructed, locally, in terms of a path ordered product of exponentials (link operators). On the other...
متن کاملIntroducing the Logarithmic finite element method: a geometrically exact planar Bernoulli beam element
We propose a novel finite element formulation that significantly reduces the number of degrees of freedom necessary to obtain reasonably accurate approximations of the low-frequency component of the deformation in boundary-value problems. In contrast to the standard Ritz–Galerkin approach, the shape functions are defined on a Lie algebra—the logarithmic space—of the deformation function. We con...
متن کاملRotational invariants in finite element formulation of three-dimensional beam theories
This paper introduces a new finite element formulation of the ‘geometrically exact finite-strain beam theory’. The formulation employs the generalized virtual work principle. In the resulting governing equations of the beam, the strain vectors are the only unknown functions. The consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enfor...
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: International Journal of Advanced Structural Engineering
سال: 2018
ISSN: 2008-3556,2008-6695
DOI: 10.1007/s40091-018-0199-8