| Summary: | 碩士 === 國立臺北科技大學 === 土木與防災技術研究所 === 91 === Finite element method analysis the structure,first assumes deformation model of the structure (polynominal),the end displacement value of the structure becomes a deformation field,is an element,structure is set of the element.Force on structure also can express with element end force value and force field,force field and deformation field can assume direct ratio.is linearly elastic.Total strain energy of the element is stationary small in structure,can determine end deflection.
The structure members have two force member、beam、membrane、plate、and shell.According to end degree of freedom difference of deflection field determine it,degree of freedom determine most height exponential order of the deflection polynominal,deflection polynominal express shape function with end deflection,is deformation of the structure member,deformation field of the structure.Force field of the structure also can become end value expression,force field can use the same shape function with deformation field.Force on member has strain energy for deflection after,strain energy can express with end force value and deflection value,total strain energy of the structure is stationary small,become stability condition,obtain the end deflection.
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