Shear Buckling of Corrugated Plates With Edges Elastically Restrained Against Rotation

Machimdamrong, C.; Watanabe, Eiichi; Utsunomiya, Tomoaki

doi:10.1142/s0219455404001148

Cited by 21 publications

(16 citation statements)

References 18 publications

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“…This is not necessarily because approximated solutions are enough for engineering applications. A simple and valid approximated analysis for corrugated plates can be conducted by analysing them as orthotropic plates [1][2][3][4][5][6][7][8][9][10][11][12] of uniform thickness and equivalent rigidities (Fig. 2).…”

Section: Introductionmentioning

confidence: 99%

“…Following the same approach as Briassoulis [7], Samanta et al [10] derived new expressions for the equivalent extensional rigidity of trapezoidally corrugated plates, and carried out free vibration and geometric nonlinear analyses of such plates with the new expressions. Semenyuk et al [11] and Machimdamrong et al [12] considered the transverse shear stresses of thick corrugated plates and derived the equivalent expression of transverse shear modulus for them. After studying the computation results for a series of corrugated shells, Semenyuk et al [11] also found the limitations of the equivalent expressions and presented the conditions under which a corrugated shell should not be treated as an orthotropic circular shell.…”

Section: Introductionmentioning

confidence: 99%

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Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory

2005

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This paper deals with elastic buckling analysis of stiffened and un-stiffened corrugated plates via a mesh-free Galerkin method based on the first-order shear deformation theory (FSDT). The corrugated plates are approximated by orthotropic plates of uniform thickness that have different elastic properties along the two perpendicular directions of the plates. The key to the approximation is that the equivalent elastic properties of the orthotropic plates are derived by applying constant curvature conditions to the corrugated sheet. The stiffened corrugated plates are analyzed as stiffened orthotropic plates. The stiffeners are modelled as beams. The stiffness matrix of the stiffened corrugated plate is obtained by superimposing the strain energy of the equivalent orthotropic plate and the beams after implementing the displacement compatibility conditions between the plate and the beams. The mesh free characteristic of the proposed method guarantee that the stiffeners can be placed anywhere on the plate, and that remeshing is avoided when the stiffener positions change. A few selected examples are studied to demonstrate the accuracy and convergence of the proposed method. The results obtained for these examples, when possible, are compared with the ANSYS solutions or other available solutions in literature. Good agreement is evident for all cases. Some new results for both trapezoidally and sinusoidally corrugated plates are then reported.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory

2005

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“…The scope of the damage plasticity model ABAQUS: it provides the damage plasticity model suitable for the following finite element analysis [7]:…”

Section: Simulation Of Materials Nonlinearity Of Concrete Using Damagementioning

confidence: 99%

Finite element analysis (FEA) analysis of the preflex beam

Wan

Gao

2017

AIP Conference Proceedings

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Abstract. The development of finite element analysis (FEA) has been relatively mature, and is one of the important means of structural analysis. This method changes the problem that the research of complex structure in the past needs to be done by a large number of experiments. Through the finite element method, the numerical simulation of the structure can be used to achieve a variety of static and dynamic simulation analysis of the mechanical problems, it is also convenient to study the parameters of the structural parameters. Combined with a certain number of experiments to verify the simulation model can be completed in the past all the needs of experimental research. The nonlinear finite element method is used to simulate the flexural behavior of the prestressed composite beams with corrugated steel webs. The finite element analysis is used to understand the mechanical properties of the structure under the action of bending load.

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“…2πr dr (11) in which ρ is the mass density of the plate material. The governing equations are derived from a variational procedure, the extended Hamilton's principle for the nonconservative system is used.…”

Section: Dynamic Governing Equationsmentioning

confidence: 99%

“…Review of the literature indicates that the researchers have given a great attention to the nonlinear problems in a corrugated circular plate, analytically and numerically, based on two nonlinear bending theories: isotropic shallow shell theory [3,4] and anisotropic plane plate theory [5,6]. These efforts have covered various aspects of the nonlinear problem with regard to a corrugated plate, including the vibration [7,8], bending [9,10], and stability [11]. Generally, the nonlinear bending theory of plates based approach is applicable to corrugated circular plate with dense corrugations of various types, while the shells based way proves to be independent of the density of corrugations [4,12].…”

Section: Introductionmentioning

confidence: 99%

A dynamical model for nonlinear viscoelastic corrugated circular plates with shallow sinusoidal corrugations

Wang

et al. 2011

Arch Appl Mech

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An integrated mathematic model and an efficient algorithm on the dynamical behavior of homogeneous viscoelastic corrugated circular plates with shallow sinusoidal corrugations are suggested. Based on the nonlinear bending theory of thin shallow shells, a set of integro-partial differential equations governing the motion of the plates is established from extended Hamilton's principle. The material behavior is given in terms of the Boltzmann superposition principle. The variational method is applied following an assumed spatial mode to simplify the governing equations to a nonlinear integro-differential variation of the Duffing equation in the temporal domain, which is further reduced to an autonomic system with four coupled first-order ordinary differential equation by introducing an auxiliary variable. These measurements make the numerical simulation performs easily. The classical tools of nonlinear dynamics, such as Poincaré map, phase portrait, Lyapunov exponent, and bifurcation diagrams, are illustrated. The influences of geometric and physical parameters of the plate on its dynamic characteristics are examined. The present mathematic model can easily be used to the similar problems related to other dynamical system for viscoelastic thin plates and shallow shells.

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Shear Buckling of Corrugated Plates With Edges Elastically Restrained Against Rotation

Cited by 21 publications

References 18 publications

Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory

Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory

Finite element analysis (FEA) analysis of the preflex beam

A dynamical model for nonlinear viscoelastic corrugated circular plates with shallow sinusoidal corrugations

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