서지주요정보
구조물의 형상 최적화를 위한 경계 응력 제한조건의 설계 민감도해석 = Design sensitivity analysis of boundary stress constraints for shape optimization of structural systems
서명 / 저자 구조물의 형상 최적화를 위한 경계 응력 제한조건의 설계 민감도해석 = Design sensitivity analysis of boundary stress constraints for shape optimization of structural systems / 임종순.
발행사항 [대전 : 한국과학기술원, 1993].
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등록번호

8003475

소장위치/청구기호

학술문화관(문화관) 보존서고

DME 93024

도서상태

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반납예정일

초록정보

In this thesis, a method of shape design sensitivity analysis of boundary stress constraints of linear elastic systems is presented. As a theoretical basis, a new unified variational principle, based on a mixed functional obtained by linear combination of the total potential energy functional, the modified Helliger-Reissner functional and the Hu-Washizu functional with two parameters, is proposed and mathematical characteristics of the variational equation of the principle is thoroughly investigated for analysis of the boundary value problems in linear elasticity. It is first proved that the Euler-Lagrange equations of the variational equation is identical with the governing equations for the given problem. Then existence of the unique solution of the variational equation is systematically proved by showing that the energy bilinear form is weakly coercive. As an application of the proposed variational principle, it is further shown that the stress/strain smoothing mthod already widely adopted for post-processing of analysis results of the displacement based FEM can be obtained as a form of the mixed FEM based on the variational equation. The constraints of point stress on the boundary and boundary integral stress are transformed into those of unsmoothed stress functionals defined on the domains of the finite elements including the point and the boundary using the local stress smoothing method of which theoretical basis is provided by the new unified variational principle. Then the material derivative idea in continuum mechanics and an adjoint variable technique are employed for shape design sensitivity analysis of the constraints. Validity of the shape design sensitivity analysis method is tested through three numerical examples and it is shown that the method is stable with accurate shape design sensitivity results and is readily applicable to practical structural shape optimization of linear elastic systems. For each shape optimization problem, stress constraints are formulated as one of four type functions of local nodal stress, global nodal stress, boundary integral stress and domain integral stress, and optimal solutions are obtained respectively. Through the numerical results, it is demonstrated that the constraint formulation of local nodal stress function is most effective in structural shape optimizations.

서지기타정보

청구기호 {DME 93024 xii, 134 p. : 색채 삽도 ; 26 cm 한국어 부록 : A, 영역적분 응력 제한함수와 절점변위 제한함수의 민감도식. - B, 3차 스플라인 (cubio spline) 함수와 설계속도 저자명의 영문표기 : Jong-Soon Im 지도교수의 한글표기 : 이병채 지도교수의 영문표기 : Byung-Chai Lee 학위논문(박사) - 한국과학기술원 : 기계공학과, 참고문헌 : p. 81-88 Boundary value problems. Structural optimization. Lagrange equations. Finite element method. Continuum mechanics. 경계치 문제. 2 과학기술용어시소러스 유한 요소법. --과학기술용어시소러스 최적화. --과학기술용어시소러스 Lagrange 방정식. --과학기술용어시소러스 감도 해석. --과학기술용어시소러스
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