Use of the Finite Element Method in the Analysis of Impact-Induced Longitudinal Waves in Constrained Elastic Systems

1995 ◽  
Vol 117 (2A) ◽  
pp. 336-342 ◽  
Author(s):  
W. H. Gau ◽  
A. A. Shabana
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Virtual Work ◽  
Fourier Method ◽  
Jump Discontinuity ◽  
Elastic Rods ◽  
The Finite Element Method ◽  
Longitudinal Waves ◽  
The Impact ◽  
Element Method

In rotating elastic rods, dispersions occurs as the result of the finite rotations. By using Fourier method, it can be shown that the impact-induced longitudinal waves no longer travel with the same phase velocities. Furthermore, the speeds of the wave propagation are independent of the impact conditions including the value of the coefficient of restitution. In this investigation the use of the finite element method in the analysis of impact-induced longitudinal waves in rotating elastic rods is examined. The equations of motion are developed using the principle of virtual work in dynamics. Jump discontinuity in the system velocity vector as result of impact is predicted using the generalized impulse momentum equations. The solution obtained using the finite element method is compared with the solution obtained using Fourier method. Numerical results show that there is a good agreement between the solution obtained by using Fourier method and the finite element solution in the analysis of wave motion. However, discrepancies between the two solutions in the analysis of the velocity waves are observed and discussed in this paper.

Mathematical Simulation of Rigid Pile Composite Foundation with Lateral Unloading

2013 ◽  
Vol 368-370 ◽  
pp. 756-759
Author(s):  
Jing Ma ◽  
Wen Sheng Chen ◽  
Xue Feng Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mathematical Simulation ◽  
Horizontal Displacement ◽  
Composite Foundation ◽  
The Finite Element Method ◽  
Rigid Pile ◽  
Rigid Pile Composite Foundation ◽  
The Impact ◽  
Element Method

Based on the Finite Element Method ,a model has been built to study the impact of rigid pile composite foundation with lateral unloading,then obtained a conclusion about the horizontal displacement during excavating.

scholarly journals Optimization Procedure of Roller Elements Geometry with Regard to Durability of Spherical Roller Bearings

2020 ◽  
Vol 22 (2) ◽  
pp. 68-72
Author(s):  
Jan Steininger ◽  
Stefan Medvecky ◽  
Robert Kohar ◽  
Tomas Capak
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Roller Bearing ◽  
Optimization Procedure ◽  
Parametric Models ◽  
The Finite Element Method ◽  
Roller Bearings ◽  
Contact Points ◽  
The Impact ◽  
Element Method

The article deals with an optimization procedure of roller elements geometry with regard to durability of spherical roller bearings. The aim of the article is to examine the impact of change of the roller elements inner geometry on durability and reliability of spherical roller bearings; the contact strain along a spherical roller by means of the Finite Element Method at contact points of components of a spherical roller bearing by means of designed 3D parametric models. The most appropriate shape of roller elements inner geometry of a bearing from the standpoint of calculated durability was determined based on results of the contact analyses.

Engineering Calculations of Microelectronic Products Parts and Assemblies Using Finite-Element Modeling

2021 ◽  
Vol 26 (3-4) ◽  
pp. 255-264
Author(s):  
E.Y. Chugunov ◽  
◽  
A.I. Pogalov ◽  
S.P. Timoshenkov ◽  
◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Properties ◽  
Integrated Approach ◽  
Design And Technology ◽  
Design Parameters ◽  
The Finite Element Method ◽  
Operational Factors ◽  
The Impact ◽  
Element Method

In the context of increasing the electronic components integration level, growing functionality and packaging density, as well as reducing the electronics weight and size, an integrated approach to engineering calculations of parts and assemblies of modern functionally and technically complex microelectronic products is required. Of particular importance are engineering calculations and structural modeling using computer-aided engineering systems, and also assessment of structural, technological and operational factors’ impact on the products reliability and performance. This work presents an approach to engineering calculations and microelectronic products modeling based on the finite-element method providing a comprehensive account of various factors (material properties, external loading, temperature fields, and other parameters) impact on the stress-strain state, mechanical strength, thermal condition, and other characteristics of products. On the example of parts and assemblies of products of microelectronic technology, the approximation of structures was shown and computer finite-element models were developed to study various structural and technological options of products and the effects on them. Engineering calculations and modeling of parts and assemblies were performed, taking into account the impact of material properties, design parameters and external influences on the products’ characteristics. Scientific and technical recommendations for structure optimization and design and technology solutions ensuring the products resistance to diverse effects were developed. It has been shown that an integrated approach to engineering calculations and microelectronic products modeling based on the finite-element method provides for the determination of optimal solutions taking into account structural, technological, and operational factors and allows the development of products with high tactical, technical and operational characteristics.

Impact Damage Analysis and Experimental Test of Carbon/Epoxy Composite Laminate

2015 ◽  
Vol 1120-1121 ◽  
pp. 590-592
Author(s):  
Hyoh Yun Choi ◽  
Yeon Jun Lim ◽  
Hyun Jun Cho ◽  
Hyun Bum Park
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Composite Laminate ◽  
Impact Analysis ◽  
Impact Damage ◽  
The Finite Element Method ◽  
Fem Model ◽  
The Impact ◽  
Method Analysis ◽  
Element Method

In this work, study on impact damage FEM model of composite structure was performed. From the finite element method analysis results of composite laminate, it was confirmed that the results of analysis was reasonable. The velocity of impactor to initiate damage was estimated, and in order to investigate the damage at the predicted velocity, impact analysis using finite element method was performed. According to the impact analysis results of composite laminate, it was confirmed that the damage was generated at the estimated impact velocity. Finally, the comparison of the numerical results with those measured by the experiment showed good agreement.

Modeling of the impact of hold-down forces on the accuracy of the workpiece shape using the finite element method

2021 ◽  
pp. 9-20
Author(s):  
A.V. Zaitsev ◽  
A.N. Izosimov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Section ◽  
The Body ◽  
Machining Process ◽  
Mechanical Processing ◽  
The Finite Element Method ◽  
The Cross ◽  
The Impact ◽  
Element Method

In the article, the modeling of the impact of hold-down forces on the accuracy of the shape of the workpiece using the finite element method was carried out. The operation of mechanical processing (turning cut) of a workpiece of the body of rotation type on a milling machine with basing and fixing along the inner cylindrical surface of the workpiece is considered. The study was conducted for four different types of machine retaining devices used on machines of this group. A consistent description and illustration of the method of modeling the process of the impact of hold-down forces on the workpiece is made for each type of the device under consideration. The force constraints and effects imposed on the model are described and illustrated, the parameters of the finite element grid used in modeling are presented, the displacement profiles obtained in the modeling process and the stages of modeling the machining process are described, and the values of the largest deviations from the shape of the workpiece are determined. The results of the modeling are presented: a qualitative picture of the shape errors obtained as a result of mechanical processing — the values of the largest deviation from the roundness and the largest deviation from the cross-section profile of the workpiece to be processed, as well as the shape of the cutting obtained in the cross-section of the workpiece for each type of the devices under consideration. On the basis of the obtained results, estimates of the degree of accuracy of the shape and the relative geometric accuracy provided by the considered devices were made in accordance with GOST 24643–81. The conclusion is made about the suitability of using the considered variants of machine retaining devices for the proposed technological process according to the criterion of the provided accuracy of the shape of the processed surface. English version of the article is available at URL: https://panor.ru/articles/modeling-the-influence-of-the-fastening-forces-on-the-accuracy-of-the-workpiece-shape-using-the-finite-element-method/65043.html

scholarly journals Nonlinear Dynamic Analysis of Axisymmetric Solids by the Finite Element Method

1974 ◽  
Vol 96 (2) ◽  
pp. 103-112 ◽  
Author(s):  
M. Hartzman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Technique ◽  
Nonlinear Dynamic Analysis ◽  
Plastic Behavior ◽  
The Finite Element Method ◽  
Lumped Mass ◽  
Mass System ◽  
The Impact ◽  
Element Method

A method for calculating the dynamic response of deformable axisymmetric solids, subjected to time-dependent axisymmetric loads is described. The nonlinearities considered in this analysis include material nonlinearity (elastic-plastic behavior) and geometric nonlinearity, which includes finite deformation. The finite-element method is applied to approximate the continuum by a lumped-mass system connected by axisymmetric elements. The equations of motion are solved by applying a step-by-step numerical technique. The analysis is illustrated by application to the collapse of a built-in spherical dome with varying thickness and to the impact of a cylinder against a rigid wall. Close agreement is obtained between the results from the present technique and results obtained from the literature.

scholarly journals Analysis of the stressed-strained state of the foundation-shell at interaction with the elastic-plastic medium

2021 ◽  
pp. 105-112
Author(s):  
Maksym Vabishchevich ◽  
Gherman Zatyliuk
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Methods ◽  
Bearing Capacity ◽  
The Finite Element Method ◽  
Plastic Medium ◽  
Soil Base ◽  
Elastic Plastic ◽  
The Impact ◽  
Element Method

On the basis of modern numerical implementations of the finite element method the article presents the justification of the adequacy of the method of solving the problems of structures straining in their contact interaction with the elastic-plastic nonlinear soil medium. Compatible calculations of structures and nonlinear bases, which are described by modern mechanical and soil models within one problem is a significant technical problem. The solution of the assigned tasks is possible only within the framework of numerical methods, the most common of which is the finite element method (FEM). The construction of the computational finite element model raises many complex questions that require additional detailed study. In addition, the compliance with the state building norms and regulations is an important factor for further practical use. The use of numerical methods in the calculation of machines and structures, taking into account their interaction with the elastic-plastic medium is largely determined by the complexity or even impossibility of analytical calculation due to the complexity of structural schemes, heterogeneity of material features, uneven soil layers, implementation of step-by-step work execution technologies and so on. The combination of the latest achievements in the field of structural mechanics and soil mechanics is a promising direction for the development of effective approaches to building discrete models of space systems “structure-nonlinear base” for solving applied problems. The use of the developed method allows to significantly specify the structures stress state interacting with the soil base, and to significantly specify the impact on the calculated level of the base bearing capacity. Only the simultaneous consideration of the nonlinear resistance of the soil base together with the plasticity and the structure destruction in the numerical simulation of the foundation-shell load provided good agreement with the natural experiment data as to the type of the boundary state and the bearing capacity level.

Analysis of Sealing Properties of Coupled Gas Film Flow Field and Cantilever-Type Foil Deformation

2014 ◽  
Vol 670-671 ◽  
pp. 856-859
Author(s):  
Gang Ma ◽  
Yun Long Du
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Steady State ◽  
The Finite Element Method ◽  
Analysis Model ◽  
The Impact ◽  
Method Analysis ◽  
Fluid Solid Interaction ◽  
Steady State Performance ◽  
Element Method

Aimed at cantilever-type foil cylinder film seal system, finite element method analysis model was established to calculate the deformation of cantilever foil under the gas pressure based on the theory of plate bending. The paper proposed a method to solve fluid-solid interaction problems in cantilever-type foil cylinder film seal system based on the numerical analysis method of cylinder gas film seal. The calculation program using the finite element method to solve fluid-solid interaction problems was developed. Calculation simulation of the film mechanical properties and steady-state performance of sealing system was realized which improved the accuracy of the sealing system performance analysis and provided the basis for the multi-parameters matching design of sealing system. The impact of adding cantilever foil support structure to the steady-state performance of sealing system and the influence of flexible support parameters on the steady-state performance of the sealing system was calculated through the method.

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