Dynamic Viscoelastic Beam Model for Finite Element Method

1990 ◽  
Vol 3 (1) ◽  
pp. 19-29 ◽  
Author(s):  
Joseph J. Rencis ◽  
Sunil Saigal ◽  
Kwo‐Yih Jong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Model ◽  
Viscoelastic Beam ◽  
Element Method

scholarly journals Design finite element method based models of floating dry docks strength

2021 ◽  
pp. 43-52
Author(s):  
Anatoly Mironov ◽  
Dmitry Y. Titko
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Elastic Base ◽  
Beam Model ◽  
Buoyant Force ◽  
Dry Dock ◽  
Global Strength ◽  
Element Method

The features of global strength modelling of floating dry docks using finite element method are considered. Comparative analysis of two- and three-dimensional models was performed considering the interaction of the floating dry dock and the ship. To solve the problem of reducing the complexity of creating and the size of the finite element model, it is proposed to use the elements of a volumetric orthotropic body to model the main transverse beams of the pontoon. Hydrostatic elastic base of floating dry dock is represented as spring elements. The model of the dock support device includes spring and gap elements. The vessel is considered in the equivalent beam model. Results were obtained on such effects as redistribution of buoyant force due to deformation of the dock, incomplete inclusion of the towers in the general longitudinal bending of the dock, the effect of ship stiffness not only on the longitudinal, but also on the transverse bending of the dock.

scholarly journals Exploring three-dimensional edge-based smoothed finite element method based on polyhedral mesh to study elastic mechanics problems

2021 ◽  
Vol 39 (4) ◽  
pp. 747-752
Author(s):  
Jian Yang ◽  
Wei Xie ◽  
Zhiwei Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Relative Error ◽  
Three Dimensional ◽  
Beam Model ◽  
Hexahedral Elements ◽  
Smoothed Finite Element Method ◽  
Polyhedral Mesh ◽  
Edge Based ◽  
Element Method

This paper established the three-dimensional edge-based smoothed finite element method(ES-FEM) based on polyhedral mesh, divided the smoothed domain, constructed the shape function and derived the geometric matrix and the stiffness matrix. The MATLAB software was used to prepare the corresponding computing programs, with which the paper studied the stress distribution of a hollow sphere model and a beam model under different numbers of polyhedral elements. The paper compared the calculation results from the conventional finite element methods(FEM) that use tetrahedral elements and hexahedral elements respectively in terms of stress relative error and energy relative error. The comparison results show that the three-dimensional ES-FEM based on polyhedral mesh has better precision and convergence than the conventional FEM and better adaptability to complex geometric structures.

scholarly journals Dynamic Analysis of Bolted Cantilever Beam with Finite Element Method Considering Thread Relation

2020 ◽  
Vol 10 (20) ◽  
pp. 7036
Author(s):  
Chao Cao ◽  
Xueyan Zhao ◽  
Zhenghe Song
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Dynamic Analysis ◽  
Cantilever Beam ◽  
Nonlinear Dynamic ◽  
Beam Model ◽  
Nonlinear Phenomenon ◽  
Bolted Joint ◽  
Element Method

There are complex nonlinear behaviors and mechanisms in the bolted joint interface. Thus, the bolted joint is crucial to the complex nonlinear dynamic response of the structure. However, in the traditional structural dynamic analysis, the screw connection is usually neglected, which makes it challenging to analyze and study the nonlinear dynamic behavior of bolted structures. Hence, based on the Timoshenko beam theory and finite element method, this paper introduces a model considering thread connection to analyze the dynamic response under different excitation. Eventually, the results indicate that owing to the local nonlinearity of bolts, the whole bolted cantilever beam shows hardening-type characteristics. In addition, the frequency response curve also depicts the typical nonlinear phenomenon of instability and uncertainty, namely bifurcation, which preliminarily verifies the correctness and accuracy of the bolted cantilever beam model.

The Analysis of Vibration for Ballastless Track-Bridge Base on a Hybrid FE-SEA Method

2013 ◽  
Vol 405-408 ◽  
pp. 3213-3217
Author(s):  
Wen Jun Luo ◽  
Xiao Yan Lei ◽  
Song Liang Lian
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vibration Analysis ◽  
High Performance ◽  
Beam Model ◽  
The Finite Element Method ◽  
Frequency Method ◽  
Ballastless Track ◽  
Track Bridge ◽  
Element Method

In this study, the methods for combining statistical energy analysis (SEA) and the finite element method (FEM) for the vibration analysis of structures are studied. Using the two methods simultaneously isnt entirely extend a primarily low frequency method, the finite element method, and high frequency method, SEA, to the mid frequency region are addressed. This approach is intended to extend the frequency range for a FEM based vibration analysis . A new finite element elementl for elevated slab ballastless track is proposed in which the new model can be used for modeling the track structural constituents of elevated slab ballastless track. Using finite element method and Hamilton theory, the coupled equation of vehicle-track-bridge can be established. In calculating example, both the rail displacement induced by single four-layer beam model. Specifically, it showed that the method yields very good result and high performance in the numerical example of previous research.

Dynamic Modeling of Towed Cable System Using the Nodal Position Finite Element and Symplectic Integration

2015 ◽  
Author(s):  
G. Q. Li ◽  
Lian Lian ◽  
Zheng H. Zhu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Modeling ◽  
Simulation Program ◽  
Singular Problem ◽  
Beam Model ◽  
Alternative Method ◽  
Nodal Position ◽  
Element Method

The cable of towed underwater system have a character of low tension, in order to overcome this singular problem during numerical calculation, the bending stiffness is included in the bar model, or using the beam model. however, we choose an alternative method called nodal position finite element method, it is different from the traditional finite element method, this alternative method is formulated in term of element nodal position that different with the nodal displacement used in traditional finite element. The model equation is derived from the principle of virtual work, consideration of the hydrodynamic drag force, gravity force, buoyancy and internal damping model. The energy conservative time integrator is preferred for the long term simulation, so we build up a simulation program that using the nodal position finite element method and symplectic leapfrog time integrator for the dynamic analysis of the towed body system. Firstly, the robustness of the proposed time integrator is verified by the elastic spring pendulum, and compared with the traditional frequently used time integrators such as fourth-order Runge-Kutta method and Newmark method, the results show that the proposed approach is accurate and preserves the system energy over long term simulation, then the proposed time integrator is applied to the dynamic modeling of the elastic cable towed system, the well agreement with Sea trail experiment date demonstrates that the simulation program is robust and accurate.

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