Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation

Andrei Borisovich; Jolanta Dymkowska; Czesław Szymczak

doi:10.1016/j.jmaa.2004.11.030

Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.11.030 ◽

2005 ◽

Vol 307 (2) ◽

pp. 480-495 ◽

Cited By ~ 6

Author(s):

Andrei Borisovich ◽

Jolanta Dymkowska ◽

Czesław Szymczak

Keyword(s):

Elastic Foundation ◽

Infinite Plate ◽

Linear Elastic ◽

Plate Strip

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NON-LINEAR VIBRATIONS OF A SLIGHTLY CURVED BEAM RESTING ON A NON-LINEAR ELASTIC FOUNDATION

Journal of Sound and Vibration ◽

10.1006/jsvi.1997.1428 ◽

1998 ◽

Vol 212 (2) ◽

pp. 295-309 ◽

Cited By ~ 23

Author(s):

H.R. Öz ◽

M. Pakdemirli ◽

E. Özkaya ◽

M. Yilmaz

Keyword(s):

Elastic Foundation ◽

Curved Beam ◽

Linear Elastic ◽

Non Linear ◽

Linear Vibrations

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Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Composites Part B Engineering ◽

10.1016/j.compositesb.2015.05.010 ◽

2016 ◽

Vol 86 ◽

pp. 61-83 ◽

Cited By ~ 27

Author(s):

Farhad Alinaghizadeh ◽

Mahmoud Shariati

Keyword(s):

Elastic Foundation ◽

Variable Thickness ◽

Functionally Graded ◽

Rectangular Plates ◽

Bending Analysis ◽

Linear Elastic ◽

Non Linear ◽

Annular Sector

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The large deflection on problem of circular plate on elastic foundation and in conjunction with linear elastic structure

Applied Mathematics and Mechanics ◽

10.1007/bf01898224 ◽

1986 ◽

Vol 7 (4) ◽

pp. 345-354

Author(s):

Chen Shan-lin ◽

Zhang Li-ying

Keyword(s):

Circular Plate ◽

Elastic Foundation ◽

Large Deflection ◽

Elastic Structure ◽

Linear Elastic ◽

Plate On Elastic Foundation

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A new semi-analytical method for the non-linear static analysis of an infinite beam on a non-linear elastic foundation: A general approach to a variable beam cross-section

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2012.04.005 ◽

2012 ◽

Vol 47 (4) ◽

pp. 132-139 ◽

Cited By ~ 17

Author(s):

T.S. Jang ◽

Hong Gun Sung

Keyword(s):

Static Analysis ◽

Elastic Foundation ◽

Cross Section ◽

Analytical Method ◽

Beam Cross Section ◽

Infinite Beam ◽

Linear Elastic ◽

Non Linear ◽

Linear Static Analysis

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Dynamics of Axially Functionally Graded Timoshenko Beams on Linear Elastic Foundation

Materials Horizons: From Nature to Nanomaterials - Recent Advances in Layered Materials and Structures ◽

10.1007/978-981-33-4550-8_10 ◽

2021 ◽

pp. 253-285

Author(s):

Hareram Lohar ◽

Anirban Mitra ◽

Sarmila Sahoo

Keyword(s):

Elastic Foundation ◽

Functionally Graded ◽

Timoshenko Beams ◽

Linear Elastic

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Average response of an infinite plate on a random elastic foundation

The Journal of the Acoustical Society of America ◽

10.1121/1.412471 ◽

1995 ◽

Vol 97 (5) ◽

pp. 3415-3415

Author(s):

Joseph A. Turner ◽

Richard L. Weaver

Keyword(s):

Elastic Foundation ◽

Infinite Plate ◽

Average Response

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Natural frequencies of a non homogeneous isotropic elastic infinite plate of variable thickness resting on elastic foundation

Meccanica ◽

10.1007/bf01556330 ◽

1984 ◽

Vol 19 (4) ◽

pp. 320-324 ◽

Cited By ~ 4

Author(s):

J. S. Tomar ◽

D. C. Gupta ◽

Vinod Kumar

Keyword(s):

Elastic Foundation ◽

Variable Thickness ◽

Natural Frequencies ◽

Infinite Plate ◽

Plate Of Variable Thickness

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Exact Asymptotic Solution for the Initial Post-Buckling of a Strut on Linear Elastic Foundation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19740541002 ◽

1974 ◽

Vol 54 (10) ◽

pp. 677-683 ◽

Cited By ~ 15

Author(s):

M. S. El Naschie

Keyword(s):

Asymptotic Solution ◽

Elastic Foundation ◽

Linear Elastic ◽

Post Buckling

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Nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation

Steel and Composite Structures ◽

10.12989/scs.2013.15.4.439 ◽

2013 ◽

Vol 15 (4) ◽

pp. 439-449 ◽

Cited By ~ 3

Author(s):

Mehran Javanmard ◽

Mahdi Bayat ◽

Alireza Ardakani

Keyword(s):

Nonlinear Vibration ◽

Elastic Foundation ◽

Linear Elastic

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Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation

Asian Research Journal of Mathematics ◽

10.9734/arjom/2019/v14i430132 ◽

2019 ◽

pp. 1-47

Author(s):

E. Julius, Bassey ◽

M. Anthony, Ette ◽

U. Joy, Chukwuchekwa ◽

C. Atulegwu, Osuji

Keyword(s):

Elastic Foundation ◽

Governing Equation ◽

Asymptotic Expansions ◽

Perturbation Technique ◽

Dynamic Buckling ◽

Buckling Load ◽

Linear Elastic ◽

Non Linear ◽

Relevant Variables ◽

Independent Parameters

The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is presented. The proposed governing equation contains two small independent parameters (δ and ϵ) which are used in asymptotic expansions of the relevant variables. The results of the analysis show that the dynamic buckling load of column decreases with its imperfections as well as with the increase in damping. The results obtained are strictly asymptotic and therefore valid as the parameters δ and ϵ become increasingly small relative to unity.

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