Numerical Modelling of Vibrational Effect on the Human Body

1996 ◽  
Vol 15 (4) ◽  
pp. 161-163 ◽  
Author(s):  
S.I. Arsenev ◽  
A.M. Mishin ◽  
A.A. Sizonov ◽  
I.N. Tituch
Keyword(s):  
Skeletal Muscle ◽  
Finite Element ◽  
Finite Elements ◽  
Numerical Modelling ◽  
Human Body ◽  
Method Of Finite Elements ◽  
Vibrational Load ◽  
Technical Systems

The analysis of the reaction of the human body to a vibrational load allows us to determine the danger of this effect for the person. It is possible to evaluate the vibrational effect of existing technical systems and to form requirements for new machines and equipment from the point of vibrational safety. The technique is based on a finite element representation of the human body, analysis of skeletal muscle sensitivity, numerical modelling of effects and calculation by the method of finite elements.

scholarly journals Features of derivation of formulas for calculation of nodal reactions and coefficients of matrix of rigidity of a finite element with averaged mechanical and geometrical parameters

2021 ◽  
pp. 97-108
Author(s):  
Yurii Maksymiuk ◽  
Andrii Kozak ◽  
Ivan Martyniuk ◽  
Oleksandr Maksymiuk
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Analytical Method ◽  
Geometric Parameters ◽  
Geometrical Parameters ◽  
Method Of Finite Elements ◽  
Thin Walled ◽  
Prismatic Bodies ◽  
Element Method

Currently, the most widely used finite element method for the calculation of spatial structures, significant progress in the development of which is associated with the work of domestic and foreign scientists. In Ukrainian publications the problems of theoretical substantiation of the finite element method and its connection with other methods are considered, concrete types of finite elements and their application to various problems of mechanics of a continuous environment are studied. Much attention is paid to the choice of the appropriate shape of the finite element, the type and degree of approximating functions, as well as the development of methods for deriving stiffness matrices. The study of prismatic bodies with constants along one of the coordinates of mechanical and geometric parameters is most appropriate to carry out on the basis of the semi-analytical method of finite elements. Its essence is a combination of finite element sampling and decomposition of displacements in the characteristic direction by a system of trigonometric coordinate functions. The analysis of the literature shows that the issues related to the application of the semi-analytical finite element method to the calculation of thin-walled prismatic bodies in elastic-plastic, and massive even in elastic formulations, have not been properly reflected. In addition, there are no publications in this area devoted to the development of universal prismatic finite elements that allow you to explore massive, thin-walled and combined structures. The direction of this study is to create on the basis of the semi-analytical method of finite elements of an effective apparatus for numerical analysis of the stress-strain state of massive and thin-walled arbitrarily loaded properties of the material and solve a number of new practically important problems. Therefore, in this work, based on the moment diagram of finite elements, formulas for calculating nodal reactions and stiffness matrix coefficients of a finite element with averaged mechanical and geometric parameters for the study of massive, thin-walled and combined structures are derived.

scholarly journals Effects of volumetric boundary conditions on the compressive mechanics and modeling of passive skeletal muscle

2020 ◽  
Author(s):  
Anurag Vaidya ◽  
Benjamin Wheatley
Keyword(s):  
Skeletal Muscle ◽  
Finite Element ◽  
Boundary Conditions ◽  
Human Body ◽  
Material Properties ◽  
Computational Models ◽  
Compressive Behavior ◽  
Confined Compression ◽  
In Vivo Loading

For over two decades, computational models of human body—such as the Toyota THUMS model— have been used in automobilesafety. These models rely on accurate material properties for eachtissue. However, the compressive behavior of skeletal muscle is notfully understood, particularly regarding the differences in muscleresponse to in vivo loading conditions. It is likely that in vivo muscleexperiences a variation between confined and unconfined volumetricboundary conditions, but nearly all previous studies investigatingpassively compressed tissue have focused on muscle in unconfinedcompression (UC). One study has investigated muscle underanisotropic semi-confined compression, however none have studiedmuscle in fully confined compression (CC). Thus, we have investigatedthe effects of volumetric boundary conditions (UC and CC) on the stressrelaxation of skeletal muscle. Moreover, a finite element modelsimultaneously characterizing muscle behavior in both boundaryconditions is explored.

scholarly journals A New Mixed Functional-probabilistic Approach for Finite Element Accuracy

2020 ◽  
Vol 20 (4) ◽  
pp. 799-813
Author(s):  
Joël Chaskalovic ◽  
Franck Assous
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Asymptotic Relation ◽  
Probabilistic Approach ◽  
Random Variable ◽  
High Order ◽  
Relative Accuracy ◽  
The Difference ◽  
New Perspective

AbstractThe aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble–Hilbert lemma, we recall the two probabilistic laws we got in previous works that estimate the relative accuracy, considered as a random variable, between two finite elements {P_{k}} and {P_{m}} ({k<m}). Then we analyze the asymptotic relation between these two probabilistic laws when the difference {m-k} goes to infinity. New insights which qualify the relative accuracy in the case of high order finite elements are also obtained.

Tissue necrosis and passage of fluid due to cold stress from the thermally damaged human body peripherals: A mathematical model

2015 ◽  
Vol 04 (02) ◽  
pp. 1550012
Author(s):  
M. A. Khanday ◽  
Fida Hussain ◽  
Khalid Nazir
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Heat Equation ◽  
Cold Stress ◽  
Human Body ◽  
Human Subjects ◽  
Diffusion Equations ◽  
Tissue Necrosis ◽  
Cold Temperatures ◽  
Element Technique

The development of cold injury takes place in the human subjects by means of crystallization of tissues in the exposed regions at severe cold temperatures. The process together with the evaluation of the passage of fluid discharge from the necrotic regions with respect to various degrees of frostbites has been carried out by using variational finite element technique. The model is based on the Pennes' bio-heat equation and mass diffusion equations together with suitable initial and boundary conditions. The results are analyzed in relation with atmospheric temperatures and other parameters of the tissue medium.

DISCRETE COMPACTNESS FOR p AND hp 2D EDGE FINITE ELEMENTS

2003 ◽  
Vol 13 (11) ◽  
pp. 1673-1687 ◽  
Author(s):  
DANIELE BOFFI ◽  
LESZEK DEMKOWICZ ◽  
MARTIN COSTABEL
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Model Problem ◽  
Finite Element Approximation ◽  
Stability Estimate ◽  
Element Approximation ◽  
Dimensional Model ◽  
Compactness Property ◽  
One Dimensional ◽  
Discrete Compactness

In this paper we discuss the hp edge finite element approximation of the Maxwell cavity eigenproblem. We address the main arguments for the proof of the discrete compactness property. The proof is based on a conjectured L2 stability estimate for the involved polynomial spaces which has been verified numerically for p≤15 and illustrated with the corresponding one dimensional model problem.

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