DERIVATIVE OF BUCKLING LOAD WITH RESPECT TO SUPPORT LOCATIONS
This paper formulates the derivative of buckling load with respect to intermediate constraint locations. These intermediate constraints include intermediate spring supports and pinned supports. The analysis is based on the generalized energy functional, which includes the product of Lagrange multipliers and boundary conditions. The results show that the derivative of buckling load with respect to the constraint position is proportional to the force between the constraint and the structure as well as to the spatial slope of the associated buckling mode at the constraint position. With the combination of this derivative formula and the Courant maximum-minimum principle, an interesting theorem on the optimal constraint position is proposed.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
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Corporate Authors:
American Society of Civil Engineers
1801 Alexander Bell Drive
Reston, VA United States 20191-4400 -
Authors:
- Liu, Z-S
- Hu, H-C
- Huang, Chih-Wei
- Publication Date: 2000-6
Language
- English
Media Info
- Features: Appendices; Figures; References;
- Pagination: p. 559-564
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Serial:
- Journal of Engineering Mechanics
- Volume: 126
- Issue Number: 6
- Publisher: American Society of Civil Engineers
- ISSN: 0733-9399
- EISSN: 1943-7889
- Serial URL: http://ascelibrary.org/journal/jenmdt
Subject/Index Terms
- TRT Terms: Bearing capacity; Boundary value problems; Buckling; Columns; Constraints; Energy; Loads; Optimization; Supporting; Theorems
- Uncontrolled Terms: Derivatives (Mathematics); Lagrange multipliers
- Subject Areas: Bridges and other structures; Design; Energy; Highways; I24: Design of Bridges and Retaining Walls;
Filing Info
- Accession Number: 00798344
- Record Type: Publication
- Contract Numbers: CMS-9502123
- Files: TRIS
- Created Date: Sep 7 2000 12:00AM