서지주요정보
득이성이 제거된 경계 적분 방정식의 유도 및 형상 설계 민감도 해석에의 응용 = Singularity-removed boundary integral equations and their applications to shape design sensitivity analysis
서명 / 저자 득이성이 제거된 경계 적분 방정식의 유도 및 형상 설계 민감도 해석에의 응용 = Singularity-removed boundary integral equations and their applications to shape design sensitivity analysis / 구본웅.
저자명 구본웅 ; Koo, Bon-Ung
발행사항 [대전 : 한국과학기술원, 1996].
Online Access 원문보기 원문인쇄

소장정보

등록번호

8006182

소장위치/청구기호

학술문화관(문화관) 보존서고

DME 96009

SMS전송

도서상태

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반납예정일

초록정보

Non-singular boundary integral equations (BIEs) are derived and applied to shape design sensitivity analysis of potential, elastic and acoustic problems. Conventional BIEs generally contain singular integrands resulted from the singularities of fundamental solutions, and undesirable features such as instability, inaccuracy and discontinuity near the boundary are caused in numerical solution procedures. In order to remove these shortcomings, integral identities that describe simple physical phenomena closely related to the problems are combined with the conventional BIEs. Because the integrands of the resulting equations are sufficiently regularized near smooth boundary, more accurate and continuous solutions can be obtained by using the standard Gaussian quadrature not only in the domain but also near the boundary. In case of obtaining a field solution near a sharp corner or an edge, the integrands of the equations are not non-singular but weakly singular. Thus the accuracy of derived equations near the corner or the edge would be of the same order as that of weakly singular expressions which can be obtained by combining uniform potential and rigid body representations with the conventional BIEs for potential and elastic problems, respectively. In addition, boundary variables and their tangential derivatives can be evaluated by boundary integral in the present formulation, and the accuracy of these values can be related to those values obtained by interpolation and numerical differentiation. More accurate tangential derivatives can be obtained on the smooth boundary by using the relation and combining two solutions. In order to prove the accuracy and stability of the proposed equations, several simple problems are solved and the results are compared with those obtained by using conventional strongly singular and weakly singular equations. The results show that the proposed equations describe internal solutions very accurately. An inverse problem and shape optimization problems are solved as practical examples. For the inverse problem, the whole field can be properly reconstructed from the informations at internal points which are located very close to the unknown boundary. For the optimization problems, a shape design problem of a fillet under the stress constraints and a dimensioning problem of car interior sections for reducing noise level are adopted. The optimum designs are obtained without any numerical difficulties, which shows accuracy and practicality of the present approach.

서지기타정보

서지기타정보
청구기호 {DME 96009
형태사항 viii, 158 p. : 삽도 ; 26 cm
언어 한국어
일반주기 부록 : 경계 변수의 오차
저자명의 영문표기 : Bon-Ung Koo
지도교수의 한글표기 : 이병채
지도교수의 영문표기 : Byung-Chai Lee
수록잡지명 : "A Non-singular Boundary Integral Equation for Acoustic Problems". Journal of Sound and Vibration
학위논문 학위논문(박사) - 한국과학기술원 : 기계공학과,
서지주기 참고문헌 : p. 94-102
주제 경계 적분 방정식
기초해
특이성
설계 민감도
Boundary integral equation
Fundamental solution
Singularity
Design sensitivity
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