Hybrid Inverse Mode Problem for Structure-Foundation Systems
Publication: Journal of Engineering Mechanics
Volume 123, Issue 4
Abstract
An analytical procedure is developed for deriving the solution to a new hybrid inverse eigenmode problem such that multiple subassemblages to be designed (design subassemblages) are supported on a foundation with given stiffnesses and the number of equations of equilibrium of the ith design subassemblage as a whole may not coincide with the number of degrees of freedom of interface displacements. Due to the incompatibility of these two numbers, that is, and previous approaches determining the interface displacements only from the equations of equilibrium of the subassemblage as a whole are not applicable to this problem. It is shown that division of interface displacements and specified lowest-mode representative deformations into two groups is essential for developing the analytical procedure for the hybrid inverse eigenmode problem. It is also shown that decomposition of nodal displacements in the design subassemblage and subsidiary interface displacements into “rigid-body displacements” and “actual deformation components” plays an important role in this procedure. A systematic procedure for finding stiffness parameters is then proposed. Application of this analytical procedure to two example models is presented to demonstrate the validity and usefulness of this procedure.
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Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 4 • April 1997
Pages: 312 - 321
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Apr 1, 1997
Published in print: Apr 1997
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