Study of an inclined, segmented cantilever with tip load
Authors:
C. Y. Wang and Q. Du
Journal:
Quart. Appl. Math. 53 (1995), 81-93
MSC:
Primary 73K05; Secondary 39A10, 73H05, 73V99
DOI:
https://doi.org/10.1090/qam/1315449
MathSciNet review:
MR1315449
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Abstract: The problem of a tip-loaded $N$-segment cantilever with torsion springs at the joints is formulated through nonlinear difference equations. The solutions are obtained by both numerical and perturbation methods. As the base is rotated the cantilever shows nonlinear behavior such as nonuniqueness, hysteresis, and catastrophic changes. A stability criterion is proposed.
R. E. Mickens, Difference Equations, 2nd ed., Van Nostrand, New York, 1990
J. G. Croll and A. C. Walker, Elements of Structural Stability, Wiley, New York, 1972
H. F. Weinberger, Variational Methods for Eigenvalue Approximation, SIAM, Philadelphia, 1974
G. J. Simitses, Elastic Stability of Structures, Prentice Hall, Englewood Cliffs, New Jersey, 1976
S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, McGraw-Hill, New York, 1961
C. Y. Wang, Large deflections of an inclined cantilever with an end load, Internat J. Non-Linear Mech. 16, 155–164 (1981)
R. E. Mickens, Difference Equations, 2nd ed., Van Nostrand, New York, 1990
J. G. Croll and A. C. Walker, Elements of Structural Stability, Wiley, New York, 1972
H. F. Weinberger, Variational Methods for Eigenvalue Approximation, SIAM, Philadelphia, 1974
G. J. Simitses, Elastic Stability of Structures, Prentice Hall, Englewood Cliffs, New Jersey, 1976
S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, McGraw-Hill, New York, 1961
C. Y. Wang, Large deflections of an inclined cantilever with an end load, Internat J. Non-Linear Mech. 16, 155–164 (1981)
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Article copyright:
© Copyright 1995
American Mathematical Society
