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 ◽

Author(s):

Mehran Javanmard ◽

Mahdi Bayat ◽

Alireza Ardakani

Keyword(s):

Nonlinear Vibration ◽

Elastic Foundation ◽

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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 ◽

Author(s):

H.R. Öz ◽

M. Pakdemirli ◽

E. Özkaya ◽

M. Yilmaz

Keyword(s):

Elastic Foundation ◽

Curved Beam ◽

Linear Elastic ◽

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 ◽

Author(s):

Farhad Alinaghizadeh ◽

Mahmoud Shariati

Keyword(s):

Elastic Foundation ◽

Variable Thickness ◽

Functionally Graded ◽

Rectangular Plates ◽

Bending Analysis ◽

Linear Elastic ◽

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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 ◽

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 ◽

Linear Static Analysis

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Effects of non-uniform elastic foundation on the nonlinear vibration of nanocomposite plates in thermal environment using Selvadurai methodology

Composite Structures ◽

10.1016/j.compstruct.2020.112812 ◽

2020 ◽

Vol 253 ◽

pp. 112812

Author(s):

Vu Ngoc Viet Hoang ◽

Vu Tri Minh ◽

Dinh Gia Ninh ◽

Cong Thanh Nguyen ◽

Vu Le Huy

Keyword(s):

Nonlinear Vibration ◽

Elastic Foundation ◽

Thermal Environment

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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 ◽

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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 ◽

Author(s):

M. S. El Naschie

Keyword(s):

Asymptotic Solution ◽

Elastic Foundation ◽

Linear Elastic ◽

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Nonlinear vibration of imperfect eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundation using the first order shear deformation theory

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2013.12.009 ◽

2014 ◽

Vol 80 ◽

pp. 16-28 ◽

Author(s):

Dao Huy Bich ◽

Nguyen Dinh Duc ◽

Tran Quoc Quan

Keyword(s):

Nonlinear Vibration ◽

Shear Deformation ◽

Elastic Foundation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Shallow Shells ◽

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Nonlinear vibration of thick FGM plates on elastic foundation subjected to thermal and mechanical loads using the first-order shear deformation plate theory

Cogent Engineering ◽

10.1080/23311916.2015.1045222 ◽

2015 ◽

Vol 2 (1) ◽

pp. 1045222 ◽

Author(s):

Nguyen Dinh Duc ◽

Pham Hong Cong

Keyword(s):

Nonlinear Vibration ◽

Shear Deformation ◽

Elastic Foundation ◽

Plate Theory ◽

Mechanical Loads ◽

First Order ◽

Shear Deformation Plate Theory ◽

Plates On Elastic Foundation

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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 ◽

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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