Hamilton's Principle and the Equations of Motion of an Elastic Shell with and without Fluid Loading
Abstract
It has proven quite difficult to employ exact elastodynamic theory to describe the behavior of elastic vibrations on arbitrary bounded shells. In addition, exact theories preclude direct interpretation of Particular features observed due to the excitation of elastic shell surfaces. A rather interesting approach to describe surface vibrations may be obtained by constructing a Hamiltonian in some approximate form that assumes some correlation of motion of the outer and inner shell surface. The class of theories that allow for this approach are referred to in applied mechanics and shell theories. The interesting feature of this Hamiltonian approach is that one can add various physical mechanisms to the Hamiltonian such as extensional motion, rotary inertia, shear distortion, fluid loading, etc., and thereby study the individual contributions to resonance patterns white adding physical insight to the fundamental processes that occur on shell surfaces. We develop shell theories in this manner and examine various contributions via Hamilton's principle. We believe that fluid loading has by and large not been treated adequately in the past, and we place particular emphasis on the treatment of that contribution to this work. Acoustic scattering, shallow water, waveguide propagation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1992
- Accession Number
- ADA256396
Entities
People
- Cleon E. Dean
- Michael F. Werby
Organizations
- United States Naval Research Laboratory