Dynamic response of structures using numerical methods

Different loading conditions, different structural dimensions, or different structural materials will lead to different damage results. In this study, blast experiment of steel box model under internal explosion was conducted and the numerical methods are validated through comparison of experimental and numerical results. Then, a series of multi-box models were built, and a large number of numerical simulations considering two kinds of steel, different plate thickness ranging from 0.005 to 0.025 m, and different TNT explosive mass ranging from 5 to 2000 kg were carried out using the validated numerical methods. Two damage modes, convex damage and concave damage, were observed. The dynamic response and damage mechanism were analyzed, and the results show that the different damage modes of the first wall will lead to different damage results of the second wall. Through dimensional analysis, a two-dimensional dimensionless number for internal blast analysis was suggested. Clear physical meanings are conveyed in the dimensionless number. After that, prediction of the damage modes was studied using the proposed dimensionless number. A damage mode map was plotted based on the two-dimensional dimensionless number, and an empirical equation for rapid prediction of damage mode of steel box wall under internal blast loading is proposed.

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Application of Direct Integration Methods in the solution of a nonlinear beam problem

REMAT: Revista Eletrônica da Matemática ◽

10.35819/remat2021v7i1id4277 ◽

2021 ◽

Vol 7 (1) ◽

pp. e3002

Author(s):

Raul Carreira Rufato ◽

Santos Alberto Enriquez-Remigio ◽

Tobias Souza Morais

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Methods ◽

Dynamic Response ◽

Dynamic Problem ◽

Direct Integration ◽

The Finite Element Method ◽

Integration Methods ◽

Nonlinear Beam ◽

Fortran Language

This work applies different numerical methods involved in the solution of a nonlinear clamped beam problem. The methodology used in the discretization of the dynamic problem is based on the Finite Element Method (FEM), followed by mode superposition, where a localized nonlinearity is applied at the free end of the beam. The solution of the nonlinear problem is performed by five different integration methods. The solution code is implemented in FORTRAN language, validated with ANSYS and the dynamic response and the graphs are obtained with the help of MATLAB software. The work shows the convergence of the implemented methods with various validation problems.

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Analysis of a Dynamic Response of a Car Door Impact into the Lock

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.486.163 ◽

2013 ◽

Vol 486 ◽

pp. 163-166

Author(s):

Antonín Potěšil ◽

Petr Horník ◽

Martin Hušek

Keyword(s):

Numerical Methods ◽

Dynamic Response ◽

Physical Experiments ◽

Innovative Approaches

Innovative approaches to new design conceptions require at the same time application of simulation numerical methods and some physical experiments. The present paper describes preparation and implementation of both virtual and physical experiments focused on the dynamic response of a new design conception of a so-called car tailgate.

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Dynamic response of a cylindrical shell - Two numerical methods.

AIAA Journal ◽

10.2514/3.3462 ◽

1966 ◽

Vol 4 (3) ◽

pp. 486-494 ◽

Cited By ~ 29

Author(s):

DONALD E. JOHNSON ◽

ROBERT GREIF

Keyword(s):

Cylindrical Shell ◽

Numerical Methods ◽

Dynamic Response

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COMPARISION AND STUDY OF NUMERICAL METHODS FOR DYNAMIC RESPONSE EVALUATION OF SDOF

Journal of Science and Technology - IUH ◽

10.46242/jst-iuh.v43i01.598 ◽

2020 ◽

Vol 43 (01) ◽

Author(s):

THAI PHUONG TRUC

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Methods ◽

Dynamic Response ◽

Field Analysis ◽

Full Detail ◽

The Finite Element Method ◽

Senior Year ◽

Acceleration Method ◽

Element Method

Written for senior-year undergraduates and first-year graduate students with solid backgrounds in differential and integral calculus, this paper is oriented toward engineers and applied mathematicians. Consequently, this paper should be useful to senior-year undergraduates the finite element method [1]. The scaled direct approach is adopted for this purpose and each step in the finite element solution process is given in full detail. For this reason, all students must be exposed to (and indeed should master). This paper provides the general framework for the development of nearly all (nonstructural) finite element models. The finite element method of analysis is a very powerful, modern computational tool. Applications range from deformation and stress analysis of automotive, aircraft, building, and bridge structures to field analysis of beat flux, fluid flow, magnetic flux, seepage, and other flow problems. This paper presents study and comparison of numerical methods which are used for evaluation of dynamic response. A Single Degree of Freedom (SDF)-linear problem is solved by means of Newmark’s Average acceleration method [2], Linear acceleration method [2], Central Difference method [6,7] with the help of MATLAB. The advantages, disadvantages, relative precision and applicability of these numerical methods are discussed throughout the analysis.

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