论文信息 - Dynamics of cylindrical shells with variable curvature

Dynamics of cylindrical shells with variable curvature

Abstract The transfer matrix method is extended to the analysis of non-circular cylindrical panels. The exact solution for the transfer matrix of a panel with exponential curvature is obtained by solving exactly the variable coefficient differential equations of motion of the shell using a Laplace transform—difference equation technique. The results are compared with respect to accuracy and computer time with various approximate methods of computing the transfer matrix for the same panel. Natural frequencies and mode shapes for typical non-circular panels are computed and compared with a constant curvature panel to show the effects of variable curvature.

T. J. McDaniel | J. D. Logan | J. Logan

[1] Y. K. Lin,et al. A BRIEF SURVEY OF TRANSFER MATRIX TECHNIQUES WITH SPECIAL REFERENCE TO THE ANALYSIS OF AIRCRAFT PANELS , 1969 .

[2] L. M. Milne-Thomson,et al. The Calculus Of Finite Differences , 1934 .

[3] C. A. Mercer,et al. PREDICTION OF NATURAL FREQUENCIES AND NORMAL MODES OF SKIN-STRINGER PANEL ROWS. , 1967 .

[4] Joseph Kempner,et al. Stresses in Short Noncircular Cylindrical Shells Under Lateral Pressure , 1962 .

[5] E. F. Kurtz,et al. Matrix methods in elastomechanics , 1963 .

[6] B. L. Clarkson,et al. The Response of a Typical Aircraft Structure to Jet Noise , 1962, The Journal of the Royal Aeronautical Society.

[7] D. E. Boyd,et al. Free vibrations of noncircular cylindrical shell segments , 1971 .

[8] Y. K. Lin,et al. Dynamics of Beam-Type Periodic Structures , 1969 .

[9] Zur Berechnung von Rotationsschalen mit Übertragungsmatrizen , 1967 .

[10] T. J. McDaniel,et al. The analysis of curved multi-span structures , 1971 .

[11] Karl Marguerre. Stability of the cylindrical shell of variable curvature , 1951 .