Results 11 to 20 of about 729 (86)
Analytical solution for the free vibration analysis of delaminated Timoshenko beams. [PDF]
ScientificWorldJournal, 2014 This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constrained variational problem.
Jafari-Talookolaei RA, Abedi M.
europepmc +2 more sources
Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells
International Journal for Numerical Methods in Engineering, Volume 124, Issue 20, Page 4490-4519, 30 October 2023., 2023 Abstract This paper proposes the use of Jacobi polynomials to approximate higher‐order theories of beam, plate, and shell structures. The Carrera unified formulation is used in this context to express displacement kinematics in a hierarchical form. In this manner, classical to complex higher‐order theories can be implemented with ease.
Alfonso Pagani +3 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 124, Issue 18, Page 3997-4021, 30 September 2023., 2023 Abstract Continuous‐assumed‐strain (CAS) elements were recently introduced (Casquero and Golestanian. Comput Methods Appl Mech Eng. 2022; 399:115354.) to remove the membrane locking present in quadratic C1$$ {C}^1 $$‐continuous NURBS‐based discretizations of linear plane curved Kirchhoff rods.
Mahmoud Golestanian, Hugo Casquero
wiley +1 more source
A family of total Lagrangian Petrov–Galerkin Cosserat rod finite element formulations
GAMM-Mitteilungen, Volume 46, Issue 2, June 2023., 2023 Summary The standard in rod finite element formulations is the Bubnov–Galerkin projection method, where the test functions arise from a consistent variation of the ansatz functions. This approach becomes increasingly complex when highly nonlinear ansatz functions are chosen to approximate the rod's centerline and cross‐section orientations.
Simon R. Eugster, Jonas Harsch
wiley +1 more source
Investigation and elimination of nonlinear Poisson stiffening in 3d and solid shell finite elements
International Journal for Numerical Methods in Engineering, Volume 124, Issue 1, Page 235-263, 15 January 2023., 2023 Abstract We show that most geometrically nonlinear three‐dimensional shell elements and solid shell elements suffer from a previously unknown artificial stiffening effect that only appears in geometrically nonlinear problems, in particular in the presence of large bending deformations.
Tobias Willmann +2 more
wiley +1 more source
Shock and Vibration, Volume 2021, Issue 1, 2021., 2021 The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper. Firstly, the structure is divided into several equal sections based on domain decomposition method.
Cong Gao +6 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 121, Issue 10, Page 2285-2330, 30 May 2020., 2020 Summary This contribution proposes the first three‐dimensional (3D) beam‐beam interaction model for molecular interactions between curved slender fibers undergoing large deformations. While the general model is not restricted to a specific beam formulation, in the present work, it is combined with the geometrically exact beam theory and discretized via
Maximilian J. Grill +2 more
wiley +1 more source
Hierarchical theories of structures based on Legendre polynomial expansions with finite element applications [PDF]
International Journal of Mechanical Sciences, 2017 CARRERA, Erasmo +2 more
core +3 more sources
Research Progress on High‐Intermediate Frequency Extension Methods of SEA
Shock and Vibration, Volume 2019, Issue 1, 2019., 2019 Statistical energy analysis (SEA) can accurately describe the average vibration characteristics through system energy flow and transmission feedback. It is a powerful tool to solve the problem of high‐frequency acoustics‐vibration. SEA is widely used in vehicles, ships, aviation, and other transportation engineering fields.
Jintao Su +4 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 Based on Timoshenko’s beam theory, this paper adopts segmented strategy in establishing the governing equations of a multibeam system subjected to various boundary conditions, in which free, clamped, hinged, and elastic constraints are considered. Meanwhile, Galerkin method is incorporated as a competitive alternative, in which a new set of unified ...
Xiayang Zhang +4 more
wiley +1 more source