Reliability of uncertain flexible laminated skewed plates under random compressions

AIAA Journal ◽  
1992 ◽  
Vol 30 (2) ◽  
pp. 464-472 ◽  
Author(s):  
Chihchen Chang ◽  
Henry T. Y. Yang
Keyword(s):  
Skewed Plates

scholarly journals Linear and Nonlinear Analyses of Skewed Plates

1967 ◽  
Vol 34 (2) ◽  
pp. 271-277 ◽  
Author(s):  
J. B. Kennedy ◽  
Simon Ng
Keyword(s):  
Aspect Ratio ◽  
Large Deflection ◽  
Successive Approximations ◽  
Rectangular Plates ◽  
Aspect Ratios ◽  
Linear And Nonlinear ◽  
Center Deflection ◽  
Skewed Plates ◽  
Skew Angles ◽  
Resultant Stress

The perturbation method is used to analyze small and large-deflection problems of clamped skewed plates under uniform pressure. The results are improved by successive approximations to the three displacement components of a point on the middle plane of the plate. Numerical and graphical results are presented. Comparisons are made with existing results for skewed plates with small deflections as well as with results for rectangular plates with small and large-deflection behavior; good agreement is shown. The effects of skew and aspect ratio on plates with large deflections are investigated. The ratios of maximum center deflection to thickness of plate at which linear and nonlinear theories start deviating significantly from each other are obtained for different aspect ratios and skew angles. It is shown that the center deflection decreases with increase in skew and aspect ratio, and that the maximum resultant stress occurs along the longer edges of the plates and is displaced toward the obtuse corners.

Accurate Vibration Analysis of Simply Supported Rhombic Plates by Considering Stress Singularities

1995 ◽  
Vol 117 (3A) ◽  
pp. 245-251 ◽  
Author(s):  
C. S. Huang ◽  
O. G. McGee ◽  
A. W. Leissa ◽  
J. W. Kim
Keyword(s):  
Ritz Method ◽  
Mode Shapes ◽  
Transverse Displacement ◽  
Algebraic Polynomials ◽  
Stress Singularities ◽  
Simply Supported ◽  
Free Transverse Vibration ◽  
Skewed Plates ◽  
Convergence Of Solution ◽  
Skew Angles

This is the first known work which explicitly considers the bending stress singularities that occur in the two opposite, obtuse corner angles of simply supported rhombic plates undergoing free, transverse vibration. The importance of these singularities increases as the rhombic plate becomes highly skewed (i.e., the obtuse angles increase). The analysis is carried out by the Ritz method using a hybrid set consisting of two types of displacement functions, e.g., (1) algebraic polynomials and (2) corner functions accounting for the singularities in the obtuse corners. It is shown that the corner functions accelerate the convergence of solution, and that these functions are required if accurate solutions are to be obtained for highly skewed plates. Accurate nondimensional frequencies and normalized contours of the vibratory transverse displacement are presented for simply supported rhombic plates with skew angles ranging to 75 deg. (i.e., obtuse angles of 165 deg.). Frequency and mode shapes of isosceles and right triangular plates with all edges simply supported are also available from the data presented.

Buckling of Simply-Supported Rhombic Plates Under Externally Applied Shear

1957 ◽  
Vol 61 (557) ◽  
pp. 357-358 ◽  
Author(s):  
Bertram Klein
Keyword(s):  
Present Note ◽  
Shear Loading ◽  
Simply Supported ◽  
Skewed Plates ◽  
Clamped Edges

The buckling of skewed plates with clamped edges and under externally applied shear, and skewed plates with simply-supported edges but with both externally applied axial and shear loading have been considered previously. It is the purpose of the present note to consider the buckling of simply-supported rhombic plates under externally applied shear as shown in Fig. 1.

FREE VIBRATION AND BUCKLING ANALYSIS OF HIGHLY SKEWED PLATES BY LEAST SQUARES-BASED FINITE DIFFERENCE METHOD

2010 ◽  
Vol 10 (02) ◽  
pp. 225-252 ◽  
Author(s):  
W. X. WU ◽  
C. SHU ◽  
C. M. WANG ◽  
Y. XIANG
Keyword(s):  
Finite Difference ◽  
Free Vibration ◽  
Least Squares ◽  
Stress Singularities ◽  
Skew Angle ◽  
Good Convergence ◽  
Mesh Free ◽  
Skewed Plates ◽  
Skew Angles ◽  
First Time

It is well-known that stress singularities occur at the obtuse corners of skew plates, especially when the skew angles are large. Owing to the stress singularities, accurate bending results, vibration frequencies and buckling loads of highly skewed plates are difficult to obtain accurately. In this paper, the mesh-free least squares-based finite difference (LSFD) method is proposed for solving the free vibration and buckling problems of highly skewed plates. As such vibration and buckling results are scarce in the open literature, the method was verified by comparing the LSFD solutions with existing ones having a skew angle θ ≤ 70°, or by carrying out convergence studies. The vibration and buckling results for plates with very large skew angle (θ = 80°) are presented for the first time. The close agreement observed in the comparison studies and the good convergence behavior of the LSFD solutions provide the confidence that these vibration and buckling results predicted by the LSFD method are of good accuracy.

Analysis of Combined Pressure-Shear Waves in an Elastic/Viscoplastic Material

1977 ◽  
Vol 44 (1) ◽  
pp. 79-84 ◽  
Author(s):  
A. S. Abou-Sayed ◽  
R. J. Clifton
Keyword(s):  
Fine Structure ◽  
Rear Surface ◽  
Surface Velocity ◽  
Normal Velocity ◽  
Free Surface Velocity ◽  
Viscoplastic Material ◽  
Time Profiles ◽  
Laser Velocity ◽  
Skewed Plates ◽  
The Impact

A numerical solution is presented for the case of symmetric impact of two skewed plates, modeled to represent 6061-T6 Aluminum. The main features of the solution are, except near the impact face, the same as in previous solutions based on a rate-independent theory. Free-surface velocity-time profiles are obtained for the target rear surface. These profiles indicate that the fine structure of the normal velocity should be resolvable by means of a laser velocity-interferometer.

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