Eigenvalues of a slightly stiff pendulum with a small bob

DOI10.1007/BF01535446zbMath0311.70021MaRDI QIDQ1219804

William D. Lakin

Publication date: 1975

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Linear vibration theory (70J99) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (1)

The ‘hanging flag’ problem: on the heaving motion of a thin filament in the limit of small flexural stiffness

Cites Work

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• Vibrations of rotating beams with tip mass
• On the differential equation of a rapidly rotating slender rod
• A FOURTH-ORDER EIGENVALUE PROBLEM WITH A TURNING POINT AT THE BOUNDARY
• Composite Approximations to the Solutions of the Orr‐Sommerfeld Equation
• ON THE CHOICE OF STANDARD SOLUTIONS FOR A HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER

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