تعداد نشریات | 161 |
تعداد شمارهها | 6,489 |
تعداد مقالات | 70,096 |
تعداد مشاهده مقاله | 123,168,356 |
تعداد دریافت فایل اصل مقاله | 96,399,362 |
Investigation of Utilizing a Secant Stiffness Matrix for 2D Nonlinear Shape Optimization and Sensitivity Analysis | ||
Civil Engineering Infrastructures Journal | ||
مقاله 10، دوره 49، شماره 2، اسفند 2016، صفحه 347-359 اصل مقاله (919.81 K) | ||
نوع مقاله: Technical Notes | ||
شناسه دیجیتال (DOI): 10.7508/ceij.2016.02.011 | ||
نویسندگان | ||
Asghar Vatani Oskouie* 1؛ Amin Havaran2 | ||
1Shahid Rajaee Teacher Training University | ||
2Faculty of Civil Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran | ||
چکیده | ||
In this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. To approach this aim the analytical formulas of secant stiffness matrix are presented. The models were validated and used to perform investigating different parameters affecting the shape optimization. Numerical examples utilized for this investigating sensitivity analysis with detailed discussions presented. | ||
کلیدواژهها | ||
Nonlinear Analysis؛ Optimization؛ Prescribed Displacement؛ Sensitivity analysis | ||
مراجع | ||
Bletzinger, K.U. (2014). "A consistent frame for sensitivity filtering and the vertex assigned morphing of optimal shape", Structural and Multidisciplinary Optimization, 49(6), 873-895.
Devalve, C. and Pitchumani, R. (2013). "A numerical analysis of carbon nanotube-based damping in rotating composite structures", Composite Structures, 103, 18-26.
Kim, C.J., Kang, Y.J., Lee, B.H. and Ahn, H.J. (2012). "Design sensitivity analysis of a system under intact conditions using measured response data", Journal of Sound and Vibration, 331(13), 3213-3226.
Cheng, G., Olhoff, N. (1993). "Rigid body motion test against error in semi-analytical sensitivity analysis", Computers & Structures, 46(3), 515-527.
Choi, K.K. and Kim, N.H. (2005). Structural sensitivity analysis and optimization, Linear System. New York: Springer Science.
De Boer, H., Van Keulen, F. (2000). "Refined semi-analytical design sensitivities", International Journal of Solids and Structures, 37(46), 6961-6980.
Firl, M., Bletzinger, K.U. (2012). "Shape optimization of thin walled structures governed by geometrically nonlinear mechanics", Computer Methods in Applied Mechanics and Engineering, 237, 107-117.
Tromme, E., Tortorelli, D., Brüls, O. and Duysinx, P. (2015). “Structural optimization of multibody system components described using level set techniques”, Structural and Multidisciplinary Optimization, 52(5), 959-971.
Olhoff, N., Rasmussen, J. and Lund, E. (1993). “A method of ‘‘exact’’ numerical differentiation for error elimination in Fnite-Element-based semi-analytical shape sensitivity analyses”, Mechanics of Structures and Machines, 21(1), 1-66.
Pedersen, P. (2005). “Analytical stiffness matrices with Green–Lagrange strain measure”, International Journal for Numerical Methods in Engineering, 62(3), 334-352.
Pedersen, P., Cederkvist, J. (1981). “Analysis of non-axisymmetric vibrations and the use of basic element matrices”, Computers & Structures, 14(3-4), 255-260.
Pedersen, P., Cheng, G. and Rasmussen, J. (1989). "On accuracy problems for semi-analytical sensitivity analysis", Mechanics of Structures and Machines, 17(3), 373-384.
Rezaiee-Pajand, M. and Yaghoobi, M. (2015). "Two new quadrilateral elements based on strain states", Civil Engineering Infrastructures Journal, 48(1), 133-156.
Shahabian, F., Elachachi, S.M. and Breysse, D. (2013). "Safety analysis of the patch load resistance of plate girders: Influence of model error and variability", Civil Engineering Infrastructures Journal, 46(2), 145-160.
Van Keulen, F., De Boer, H. (1998). "Rigorous improvement of semi-analytical design sensitivities by exact differentiation of rigid body motions", International Journal for Numerical Methods in Engineering, 42(1), 71-91.
Van Keulen, F., Haftka, R.T. and Kim, N.H. (2005). "Review of options for structural design sensitivity analysis. Part 1: Linear systems", Computer Methods in Applied Mechanics and Engineering, 194(30), 3213-3243.
Wang, W., Clausen, P.M. and Bletzinger, K.U. (2013). "Geometric nonlinear sensitivity analysis for nonparametric shape optimization with non-zero prescribed displacements", 10th World Congress on Structural and Multidisciplinary Optimization, May 19-4, Orlando, Florida, USA.
Wang, W. Clausen, P.M. and Bletzinger, K.U. (2015). "Improved semi- analytical sensitivity analysis using a secant stiffness matrix for geometric nonlinear shape optimization", Computers and Structures, 146, 143-151.
Zienkiewicz, O.C. and Taylor, R.L. (2000). The Finite Element method, 5th Edition, 1st, 2nd and 3rd Volumes, Butterworth-Heinemann, Oxford, U.K.
| ||
آمار تعداد مشاهده مقاله: 1,215 تعداد دریافت فایل اصل مقاله: 1,389 |