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Analysis of continuum using boundary compatibility conditions of integrated force method

Patnaik, SN and Satish, HG (1990) Analysis of continuum using boundary compatibility conditions of integrated force method. In: Computers & Structures, 34 (2). pp. 287-295.

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Official URL: http://dx.doi.org/10.1016/0045-7949(90)90372-9


Static and vibration problems of an indeterminate continuum are traditionally analyzed by the stiffness method. The force method is more or less non-existent for such problems. This situation is primarily due to the incomplete state of development of the compatibility conditions which are essential for the analysis of indeterminate structures by the flexibility method. The understanding of the Compatibility Conditions (CC) has been substantially augmented. Based on the understanding of CC, a novel formulation termed the Integrated Force Method (IFM) has been established. In this paper IFM has been extended for the static and vibration analyses of a continuum. The IFM analysis is illustrated taking three examples: 1. (1) rectangular plate in flexure 2. (2) analysis of a cantilevered dam 3. (3) free vibration analysis of a beam. From the examples solved it is observed that the force response of an indeterminate continuum with mixed boundary conditions can be generated by IFM without any reference to displacements in the field or on the boundary. Displacements if required can be calculated by back substitution.

Item Type: Journal Article
Publication: Computers & Structures
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 07 Jan 2011 05:48
Last Modified: 07 Jan 2011 05:48
URI: http://eprints.iisc.ac.in/id/eprint/34874

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