[PDF] Top 20 Fuzzy Finite Element Method Applied to Euler-Bernoulli Beam Problem

... in finite element analysis, such as, mass, material properties, external loads or boundary conditions are considered as ...word fuzzy means "vagueness" and the concept of fuzzy number ... See full document

... a Euler– Bernoulli cracked ...inverse problem. In this work, such an inverse problem has been solved by the use of the classical optimization technique of minimizing the least square criterion ... See full document

... problems finite element analysis software is used. Finite element analysis software packages, such as ANSYS, have beam element ...by Euler-Bernoulli beam ... See full document

... a beam. We applied an in- verse analysis technique based on the finite-element method and singular value decomposition to the identification of the flexural rigidity of a simply ... See full document

... The problem of elastic beam under the action of the moving loads was considered by Willis ...the problem. Yoshida [3] studied the vibration of a beam subjected to moving concentrated moving ... See full document

... and Euler–Bernoulli beam theories, as an analytic approach, the governing equations of transverse vibrations of both thick and thin beams were derived and applied for n segments of the lumbar ... See full document

... isogeometric Bernoulli-Euler beam solution patch, from now on named “element”, 𝑢𝑢 and 𝑒𝑒, are approximated by a basis generated by an open knot vector, the basis functions are interpolatory at ... See full document

... the beam by 96 non-linear, finite rotation beam elements endowed with linear shape functions and Reissner kinemat- ics ...this element is derived from the shell element presented in ...finite ... See full document

... cracked Euler- Bernoulli beam [7] and for the torsional vibrations of a cracked bar ...2D finite element models and later by applying the same ideas to develop a model for beams with a ... See full document

... on Euler- Bernoulli and Timoshenko beam ...for Bernoulli-Euler and Timoshenko beam equations were obtained by means of the Laplace transform technique (Boley and Chao, ... See full document

... considered problem is investigated within the Euler- Bernoulli beam theory by using finite element ...cracked beam is modeled as an assembly of two sub-beams connected ... See full document

... This method gives effortlessness in finding closed-form solutions [6, ...with finite and infinite beams on a Winkler ...a beam on a variable Winkler elastic ...infinite beam models, devoting ... See full document

... cubic beam element based on Bernoulli-Euler hypothesis is generally used in the finite element analysis of framed structures neglecting the effect of shear deformation ...the ... See full document

... the beam elements, the formulation of beam elements might be derived by the fully geometrically non-linear beam ...the element nodal forces, which are required in a total Lagrangian ... See full document

... (19) As we comment in section VII where the stiffness matrix was develop and demonstrated in a particular approach, it is important to write the whole algebraic system with all the intervening unknowns in a single ... See full document

... Gradient elasticity theories have been employed within the framework of Euler-Bernoulli or Timoshenko beam theory [66] to capture the dispersive characteristics of flexural waves, e.g. in carbon ... See full document

... Regardless of the method used for calculating deflections, a careful calculation is required to measure the moment of inertia for cracked cantilever beam. The trouble lies in the amount of cracking that has ... See full document

... Abstract. We study superconvergence of a semi-discrete finite element scheme for para- bolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a ... See full document

... As it is well-known, the basic idea of the FEM is to divide the continuous domain of a problem in a discrete set of elementary subdomains (elements) where the field function (e.g. displacement) can be approximated ... See full document

... Lanczos method was used in this ...the applied load to the geometry of the branches and application points can improve the understanding of the dynamic behavior of sea buckthorn and improve the harvesting ... See full document