The formulation for the hydrostatic stiffness (restoring force) for linear rigid body hydrodynamics is well known, whereas there are several formulations in literature for the corresponding stiffness of flexible structures. Which of these formulations to use is not immediately obvious. This paper clarifies the relationship and the differences between the formulations and the selection of the appropriate one. In addition, it will be shown that a general formulation of the hydrostatic stiffness for flexible structures involves the internal stress distribution under gravity loads, just as it does the corresponding hydrostatic pressure distribution.
Issue Section:Technical Briefs
Keywords:elastic constants, hydrodynamics, hydrostatics, internal stresses, shear modulus, structural engineering
Topics:Hydrostatics, Stiffness, Stress, Flexible structures
W. G., and
Y., 1985, “
Hydroelasticity of Marine Structures,”
Theoretical and Applied Mechanics,
Elsevier Science Publishers B.V., pp.
J. N., 1994, “
Wave Effects on Deformable Bodies,”
Appl. Ocean Res.,
H. R., 1996, “
Hydrostatic Stiffness of Flexible Floating Structures,”
Proceedings of the International Workshop on Very Large Floating Structures, pp.
L. L., and
H. R., 2000, “
The Hydrostatic Stiffness of Flexible Floating Structures for Linear Hydroelasticity,”
I., 2003, “
Hydroelastic Response of a Barge to Impulsive and Non-Impulsive Wave Loads,”
Proceedings of Hydroelasticity in Marine Technology, pp.
S., 2008, “
Investigation of Ship Hydroelasticity,”
S., 2008, “
An Explicit Formulation for Restoring Stiffness and Its Performance in Ship Hydroelasticity,”
M. E., and
R. J., 2002,
Concepts and Applications of Finite Element Analysis,
E., 1984, “
Displacement Dependent Pressure Loads in Nonlinear Finite Element Analyses,”
C. A., 2008, “
Nonlinear Finite Element Methods,” Chap. 29, http://www.colorado.edu/engineering/CAS/courses.d/NFEM.dhttp://www.colorado.edu/engineering/CAS/courses.d/NFEM.d.
Copyright © 2009
by American Society of Mechanical Engineers