Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1404-1409.
王宗利, 王熙, 郝文华
收稿日期:1999-05-17
修回日期:1999-11-23
出版日期:2001-12-18
发布日期:2001-12-18
基金资助:WANG Zong-li, WANG Xi, HAO Wen-hua
Received:1999-05-17
Revised:1999-11-23
Online:2001-12-18
Published:2001-12-18
Supported by:摘要: Based on small-deflection buckling equation, a weighted solution for critical load is presented. Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions. Axisymmetric problem was studied as an example. Influencing factors were found from the equation and averaged as the buckling load by introducing weights. To determine those weights, some special known results were applied. This method solves general complicated problems by using the solutions of special simple problems, simplifies the solving procedure and expands the scope of solvable problem. Compared with numerical solution, it also has fine precision.
中图分类号:
王宗利;王熙;郝文华. WEIGHTED SOLUTION OF SMALL-DEFLECTION BUCKLING EQUATION OF THIN SHELL[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1404-1409.
WANG Zong-li;WANG Xi;HAO Wen-hua . WEIGHTED SOLUTION OF SMALL-DEFLECTION BUCKLING EQUATION OF THIN SHELL[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1404-1409.
| [1] Singer Josef.Experimental studies in shell buckling[A].In:Proceedings of the 1997 38th AIAA Structures,Structural Dynamics&Materials Conference[C].1997,3:1922-1932. [2] Raisuddin Khan.New approach to instability testing of shells[J].Int J Pressure Vissels and Piping,1998,75(1):75-80. [3] Hauch Soren.Use of f inite element analysis for local buckling design of pipelines[A].In:Proceedings of the International Conference on OMAE[C].5-9,July,1998,9. [4] Simitses G J.Buckling of moderately thick laminated cylindrical shells:a review[J].Composites Part B:Engineering,1996,27(6):581-587. [5] Ross C T F.Plastic axisymmetric collapse of thin-walled circular cylinders and cones under unif ormexternal pressure[J].Thin-Walled Structures,1998,30(1-4):35-54. [6] Al-Hassani S T S.Analytical study of buckling of composite tubes with various boundary condition[J].Composite Structures,1997,39(1-2):157-164. [7] TONG Li-yong.Simple solutions for buckling of laminated conical shells[J].Int J Mechanical Sciences,1992,34(2):93-111. [8] Ross Carl T F.Instability of circumferentially corrugated cylinders under uniform external press [A].In:ASME Petroleum Division PD Proceedings of the 1996 3rd Joint Conference on Engineering Systems Design and Analysis[C].1996,81(9):249-255. [9] Filippov S B.Buckling of joined cylindrical shells under uniform external pressure[J].Prikladnaya Matematika Mekhanika,1995,59(1):140-148. [10] WU Lian-yuan.Theory of Plate and Shells Stability[M].Shanghai:Huazhong Technology University Press,1996.(in Chinese) |
| [1] | . [J]. Applied Mathematics and Mechanics (English Edition), 2026, 47(2): 303-324. |
| [2] | . [J]. Applied Mathematics and Mechanics (English Edition), 2026, 47(2): 325-346. |
| [3] | . [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(5): 831-848. |
| [4] | . [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 289-304. |
| [5] | Jianzhong ZHAO, Xingming GUO, Lu LU. Controlled wrinkling analysis of thin films on gradient substrates[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 617-624. |
| [6] | Xianhong MENG, Guanyu LIU, Zihao WANG, Shuodao WANG. Analytical study of wrinkling in thin-film-on-elastomer system with finite substrate thickness[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 469-478. |
| [7] | A. MEHDITABAR, G. H. RAHIMI, S. ANSARI SADRABADI. Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 479-494. |
| [8] | Y. PROTSEROV, N. VAYSFELD. Torsion problem for elastic multilayered finite cylinder with circular crack[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 423-438. |
| [9] | Yuchen ZHANG, Linghui HE. Preload-responsive adhesion of microfibre arrays to rough surfaces[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 155-160. |
| [10] | Haitao LIU, Zhengong ZHOU. Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 173-190. |
| [11] | Yu XU, Caicai LIAO, Xiaomin RONG, Qiang WANG. Independent research and development progress in large-scale wind turbine blade with coordinated aerodynamics, structure, and load[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(S1): 85-96. |
| [12] | Le LIU, Chuanchuan XIE, Bo CHEN, Jiankang WU. Iterative dipole moment method for calculating dielectrophoretic forces of particle-particle electric field interactions[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1499-1512. |
| [13] | P. KIRAN. Throughflow and g-jitter effects on binary fluid saturated porous medium[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1285-1304. |
| [14] | M. CHATTERJEE, A. CHATTOPADHYAY. Propagation, reflection, and transmission of SH-waves in slightly compressible, finitely deformed elastic media[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1045-1056. |
| [15] | A. ATRIAN, J. JAFARI FESHARAKI, S. H. NOURBAKHSH. Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 939-954. |
| 阅读次数 | ||||||
|
全文 |
|
|||||
|
摘要 |
|
|||||

Email Alert
RSS