-
摘要: 针对多自由度的复杂结构,建立简化的等效结构模型,可以快速、有效地进行结构分析.采用能量等效的方法,将多自由度、结构复杂的长直结构等效为空间梁,推导得出等效梁的刚度值和惯量值,利用有限元法得到总体刚度阵和质量阵.针对某机翼模型,得出了等效梁的刚度值和惯量值,进行了振动和颤振特性分析,并分别与有限元软件的计算结果作了对比.结果表明:该等效建模法大大降低了结构自由度,振动及颤振分析误差较小,而且其主要参数值方便修改,因此该方法可用于飞行器的初级设计或结构优化设计.Abstract: For a complex structure of multiple degrees of freedom (DOF), building a simplified model of equivalent structure can lead to rapid and effective structural analysis. The method of energy equivalence was used to make a long-straight complex structure of multiple DOF equivalent to a beam element in space, the stiffness and inertia characteristics of the equivalent beam were derived, and the total stiffness matrix and mass matrix were obtained by using the finite element method. For a wing model, using the equivalence method, stiffness values and inertia values of the equivalent beam had been gotten. Analysis of vibration and flutter was carried out, and their respective results were separately compared with the calculation results of MSC Nastran. The contrast shows that the equivalent modeling method significantly reduces the structural DOF, and that the relative errors of results are small. And its main parameter values can be conveniently modified. Therefore, the method can be applied to preliminary design and structural optimization design of aircraft.
-
Key words:
- equivalent beam /
- wing /
- degree of freedom /
- vibration characteristics /
- flutter characteristics
-
[1] Lee U.Dynamic continuum modeling of beamlike space structures using finite-element matrices[J].AIAA Journal,1990,28(4): 726 [2] 张世联,金玉文.等效梁的刚度分析及应用[J].海洋工程,1994,12(2): 26-31 Zhang Shilian,Jin Yuwen.Analysis and application of stiffness of equivalent beam[J].The Ocean Engineering,1994,12(2): 26-31 (in Chinese) [3] 权成七.复合材料等效替代模型的建模原则[J].延边大学学报:自然科学版,2005,31(4): 284-285 Quan Chengqi.Basic principles for establishing the structural equivalent model[J].Journal of Yanbian University:Natural Science,2005,31(4): 284-285 (in Chinese) [4] Abdul-salam Alani H R.Dynamic and static analysis of large structures using energy equivalent macro-elements .Colorado: School of Mechanical Engineering, University of Colorado at Boulder,1984 [5] Hefzy M S.Continuum Modeling and Analysis of Discrete Repetitive Large Structures .Ohio:School of Materials, University of Cincinnati,1981 [6] Kim B J.A methodology of an equivalent beam modeling for a nose-cone of a missile .AIAA-87-0818,1987 [7] Lee U.Equivalent dynamic beam-rod models of aircraft wing structures [J].Aeronautical Journal,1995,28(8): 450-457 [8] 王勖成,绍敏.有限单元法基本原理和数值方法[M].北京: 清华大学出版社,1997: 278-282 Wang Xucheng,Shao Min.Basic principles and numerical methods of finite element technique [M].Beijing:Tsinghua University Press,1997: 278-282(in Chinese) [9] 王尚文,余旭东.飞行器结构动力学[M].西安: 西北工业大学出版社,1986: 97-112 Wang Shangwen,Yu Xudong.Structural dynamics of aircraft [M].Xi’an :Northwestern Polytechnical University Press,1986: 97-112(in Chinese) [10] 陈桂彬,邹丛青,杨超.气动弹性设计基础[M].北京: 北京航空航天大学出版社,2004: 106-110 Chen Gunbin,Zou Congqing,Yang Chao.Elements of Aeroelastic dynamics [M].Beijing: Beijing University of Aeronautics and Astronautics Press,2004:106-110(in Chinese) -
点击查看大图
计量
- 文章访问数: 3692
- HTML全文浏览量: 71
- PDF下载量: 1675
- 被引次数: 0
下载:
