This paper deals with the optimization of vibrating structures as a mean for minimizing unwanted vibration. Presented in this work is a method for automatic determination of a set of preselected design parameters affecting the geometrical layout or shape of the structure. The parameters are selected to minimize the dynamic response to external forcing or base motion. The presented method adjusts the structural parameters by solving an optimization problem in which the constraints are dictated by engineering considerations. Several constraints are defined so that the static deflection, the stress levels and the total weight of the structure are kept within bounds. The dynamic loading acting upon the structure is described in this work by its power spectral density, with this representation the structure can be tailored to specific operating conditions. The uncertain nature of the excitation is overcome by combining all possible spectra into one PSD encompassing all possible loading patterns. An important feature of the presented method is its numerical efficiency. This feature is essential for any reasonably sized problem as such problems are usually described by thousands of degrees of freedom arising from a finite-element idealization of the structure. In this paper, efficient, closed form expressions, for the cost function and its gradients are derived. Those are computed with a partial set of eigenvectors and eigenvalues thus increasing the efficiency further. Several numerical examples are presented where both shape optimization and the selection of discrete components are illustrated.
Skip Nav Destination
Article navigation
January 2002
Technical Papers
Parametric Optimization of Structures Under Combined Base Motion Direct Forces and Static Loading
Izhak Bucher
Izhak Bucher
Faculty of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel
Search for other works by this author on:
Izhak Bucher
Faculty of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 1997; Revised May 1998. Associate Editor: B. Yang.
J. Vib. Acoust. Jan 2002, 124(1): 132-140 (9 pages)
Published Online: May 1, 1998
Article history
Received:
November 1, 1997
Revised:
May 1, 1998
Citation
Bucher, I. (May 1, 1998). "Parametric Optimization of Structures Under Combined Base Motion Direct Forces and Static Loading ." ASME. J. Vib. Acoust. January 2002; 124(1): 132–140. https://doi.org/10.1115/1.1424888
Download citation file:
Get Email Alerts
Cited By
Comprehensive Analysis of Input Shaping Techniques for a Chain Suspended From an Overhead Crane
J. Vib. Acoust (August 2024)
Related Articles
The Effects of Bundle Geometry on Heat Exchanger Tube Vibration in Two-Phase Cross Flow
J. Pressure Vessel Technol (November,2001)
Closure to “Discussion of ‘Optimum Design of Vibration Absorbers for Structurally Damped Timoshenko Beams,’ ” (1998, ASME J. Vib. Acoust., 120 , pp. 833–841)
J. Vib. Acoust (October,2001)
Optimizing Vibration Isolation of Flex Circuits in Hard Disk Drives
J. Vib. Acoust (April,2005)
Position Analysis, Workspace, and Optimization of a 3- P ̱ PS Spatial Manipulator
J. Mech. Des (May,2009)
Related Chapters
Motion Analysis for Multilayer Sheets
Ultrasonic Welding of Lithium-Ion Batteries
Getting Ready for Production
Total Quality Development: A Step by Step Guide to World Class Concurrent Engineering
Stability and Range
Design and Analysis of Centrifugal Compressors