結構幾何非線性分析理論研究與實際應用仍有不少待了解與繼續研究之處。本文旨在推證組成能量共軛性應力與應變定義，並應用於桁架非線性分析中推導割線勁度矩陣及切線勁度矩陣，以便利電腦程式分析。在理論推演後並加以實例佐證，以達到理論與實用並重為目的，並作為後續研究工作之參考。

The researchs about theory and applications of the geomatrio non-near anaysis are not complete yet. The object of this study is to veriy the energy conjugation of various stresses and strains. Then the derivation is appllied to the nonlinear analysis of the truss. The secant stiffness matrix and the tangent stiffness matrix were derived. It is necessary for the numerical analysis to use the computer program. There fore the theory is as important as the application for this purpose. Examples were shown ot prove that the theories and the ways to use are correct. This study can offer helping the ressarchers who wish to study this field in the future.

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