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| Analysis of GeometricaI Construction for Quasi-Variable Systems |
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| DOI：10.7511/jslx19941007 |
| KeyWord:structure system,quasi-variability,potential energy functional,quadratic form,mechanism,product forces, |
| Liu Yuxin |
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| Abstract: |
| The study of geometrical vatiabilty is very important for the calculatin and designingof a structure system.The relationship between energy functional and equilibrium is at firstanalysed in this paper because of geometrical variability corresponding to the equilibrim.Then the potential energy is set up using Lagrangian multiplication factors.And from thesecond variation of the energy,we obtain a quadratic form for judging the variability. Final-ly,a simple expression of matrices is derived.At the same time,we prove that the methodof product-force is associated with energy method.The calculating and analysing resultsshow that if the quadratic form is define(positive or negative),the assembly is quasi-vari-able;if it is semi-define,the system is partial quasi-variable and partial variable;if it is inde-fine,there are some high order mechanisms in the system. |
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