Analysis of skew plate problems with various constraints

Mizusawa, T.; Kajita, Tateo; Naruoka, Masao

doi:10.1016/0022-460x(80)90669-0

Cited by 58 publications

(14 citation statements)

References 13 publications

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“…The buckling loads of simply supported thick square plates for di erent thickness-to-width ratios are shown in Table VII, together with the exact analytical solutions and the solutions obtained by Senthilnathan et al [15] using ÿrst-and second-order shear deformation theory. Since the displacement functions in the numerical method do not represent the real displacement in a exact manner, the system is somewhat restrained and, as can be seen, the observed buckling load is slightly overestimated.…”

Section: Buckling Analysis Of Skew Platesmentioning

confidence: 99%

Analysis of general quadrilateral orthotropic thick plates with arbitrary boundary conditions by the Rayleigh–Ritz method

Saadatpour

Azhari

Bradford

2002

Numerical Meth Engineering

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SUMMARYA numerical method is developed for the analysis of general quadrilateral, moderately thick orthotropic plates having arbitrary boundary conditions. The procedure is based on the application of the RayleighRitz method in conjunction with the Reissner-Mindlin thick plate theory. A set of complete polynomials in terms of natural co-ordinates comprising of boundary and domain terms, which satisfy the boundary conditions, is deployed as the basic functions to approximate the real displacement ÿeld. The generalized displacements and the eigenvalues are determined by imposing the principle of stationary potential energy. Although the procedure has the ability to solve problems involving thick quadrilateral plates, the numerical examples presented are mostly for skew plates. The results herein are compared with their counterparts determined by other investigators.

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Section: Buckling Analysis Of Skew Platesmentioning

confidence: 99%

Analysis of general quadrilateral orthotropic thick plates with arbitrary boundary conditions by the Rayleigh–Ritz method

Saadatpour

Azhari

Bradford

2002

Numerical Meth Engineering

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“…For the finite element analysis, an S8R5 element was adopted to obtain a thin-plate solution. Unlike rectangular plates (α 0 AE ), high stresses are known to develop at the obtuse corners of skew plates [14] and a high mesh density was therefore adopted to model these adequately. Following a careful convergence study on a plate with α 45 AE , a uniform mesh of 30 ¢ 30 elements for the aspect-ratio a b 1 was found to give predictions within 3% of the converged result.…”

Section: Computational Modellingmentioning

confidence: 99%

Buckling of Skew Plates with Continuity or Rotational Edge Restraint

Huyton

York

2001

J. Aerosp. Eng.

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Buckling strength predictions are presented for a wide range of thin isotropic skew plates, subject to uniform uniaxial compression. The key studied parameters include the aspect ratio, skew angle and rotational restraint stiffness on the different edges of the plate. The buckling strengths are evaluated both for isolated plates and for plates which are continuous with other parts of the structure. The buckling predictions are presented in the form of dimensionless buckling curves, which permits a ready adoption into the "data sheets" commonly used in current design.

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“…The proper selection of the displacement functions and the satisfaction of all the boundary conditions are important to obtain accurate results. 24 The governing differential equation of the isotropic skew plate to uniform load q in the skew co-ordinate system (see Figure 1 In the present discrete approach, equation (13) is operated on directly since the tedious numerical integration procedure has been eliminated. In the numerical calculations, the degree of B-spline functions k-1 = 5 and E2 = lo4 are used.…”

Section: Example 2 Application To Skew Platesmentioning

confidence: 99%

Application of point least squares method with B‐splines in solid mechanics problems

Mizusawa

Kajita

1982

Numerical Meth Engineering

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SUMMARYA discrete approach using the B-spline functions and the concept of the point least square is presented.The general procedure, in which trial functions satisfy neither governing differential equations nor boundary conditions, is used in solving solid mechanics problems. No numerical integration is required in the formulation and the resulting matrix has the advantage of always being symmetrical.To demonstrate the accuracy and versatility of the present method, vibration of beams, skew plate problems, thick plates and a non-self-adjoint problem are analysed. A good accuracy is obtained with increase in the number of fitting points and of knots of B-spline functions.

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Analysis of skew plate problems with various constraints

Cited by 58 publications

References 13 publications

Analysis of general quadrilateral orthotropic thick plates with arbitrary boundary conditions by the Rayleigh–Ritz method

Analysis of general quadrilateral orthotropic thick plates with arbitrary boundary conditions by the Rayleigh–Ritz method

Buckling of Skew Plates with Continuity or Rotational Edge Restraint

Application of point least squares method with B‐splines in solid mechanics problems

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