Eigenvalue design sensivity analysis of structure using continuum method

연속법에 의한 판구조 고유진동수의 민감도 해석

  • Published : 1997.02.01

Abstract

In this paper, design sensivity of plate natural frequency is computed for thickness design variables. Once the variational equation is derived from Lagrange quation using the virtual displacement, governing energy bilinear form is obtained and sensivity equation is formulated through the first variation. Natural frequency is obtained using the commercial FEM code and the accuracy of sensivity is verified by finite difference. The accuracy of natural frequency and sensivity improves for the fine mesh model.

Keywords

References

  1. Elements of Structural Optimization Haftka, R. T.;Kamat, M. P.
  2. Design Sensitivity Analysis of Structural Systems Haug, E. J.;Choi, K. K.;Komkov, V.
  3. Zeitschrift fur Reine und Angewandte Mathematik v.30 Uber ein leichtes Verfahren die in der Theorie der Saecularstoerungen Vorkommenden Gleichungen numerisch auf-zuloesen Jacobi, C.G.J.
  4. AIAA Journal v.6 Rate of Change of Eigenvalues and Eigenvectors Fox, R.L.;Kapoor, M.P.
  5. AIAA Journal v.8 Derivatives of Eigenvalues and Eigenvectors Rogers, L.C.
  6. ASME, journal of Mechanical Design v.04 Eigenvalue Derivatives of Damped Torsional Vibration Doughty, S.
  7. AIAA Journal v.14 Simplified Calcuations of Eigenvector Derivatives Nelson, R.B.
  8. 대한조선학회 논문집 v.29 no.1 전단 매트릭스법 및 유한요소-전달 매트릭스 결합방법에 의한 구조계의 동특성 감도해석 조대승;김극천
  9. 대한조선학회지 v.28 no.3 설계민감도해석 이재환
  10. 한국소음진동공학회, '91추계학술대회논문집 감도해석 기법에 의한 구조물의 진동특성의 최적화에 관한 연구 박석주;오재응;Nagamatsa Akio
  11. 한국전산구조공학회 논문집 v.7 no.1 수송체 구조물의 진동특성에 대한 설계민감도해석 이재환