scholarly journals The Dynamic Similitude Design Method of Thin Walled Structures and Experimental Validation

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Zhong Luo ◽  
You Wang ◽  
Yunpeng Zhu ◽  
Deyou Wang

For the applicability of dynamic similitude models of thin walled structures, such as engine blades, turbine discs, and cylindrical shells, the dynamic similitude design of typical thin walled structures is investigated. The governing equation of typical thin walled structures is firstly unified, which guides to establishing dynamic scaling laws of typical thin walled structures. Based on the governing equation, geometrically complete scaling law of the typical thin walled structure is derived. In order to determine accurate distorted scaling laws of typical thin walled structures, three principles are proposed and theoretically proved by combining the sensitivity analysis and governing equation. Taking the thin walled annular plate as an example, geometrically complete and distorted scaling laws can be obtained based on the principles of determining dynamic scaling laws. Furthermore, the previous five orders’ accurate distorted scaling laws of thin walled annular plates are presented and numerically validated. Finally, the effectiveness of the similitude design method is validated by experimental annular plates.

Author(s):  
Zhong Luo ◽  
You Wang ◽  
Yunpeng Zhu ◽  
Xueyan Zhao ◽  
Deyou Wang

For the design problem of dynamic similitude models of an aero engine’s turbine discs, distorted scaling laws and structural size intervals of thin walled annular plates are established in the research. According to the governing equation, the geometrically complete scaling law of thin walled annular plates is firstly established. In order to determine accurate distorted scaling laws of thin walled annular plates, three significant principles are proposed and theoretically proved combining the governing equation and the sensitivity analysis. According to results of the sensitivity analysis, accurate distorted scaling laws of thin walled annular plates are obtained based on significant principles. In addition, structural size intervals of distorted scaling laws of thin walled annular plates are calculated by the numerical method. Finally, the previous six orders’ natural frequencies of thin walled annular plates are discussed as examples to verify the theory presented in this research, and distorted scaling laws of each order’s natural frequency are obtained and the corresponding structural size intervals are analyzed.


2018 ◽  
Vol 149 ◽  
pp. 01089
Author(s):  
Mahi Imene ◽  
Djafour Naoual ◽  
Djafour Mustapha

Thin-walled structures have an increasingly large and growing field of application in the engineering sector, the goal behind using this type of structure is efficiency in terms of resistance and cost, however the stability of its components (the thin walls) remains the first aspect of the behavior, and a primordial factor in the design process. The hot rolled sections are known by a consequent post-buckling reserve, cold-formed steel sections which are thin-walled elements also benefit, in this case, it seems essential to take into account the favorable effects of this reserve in to the verification procedure of the resistance with respect to the three modes of failures of this type of structure. The design method that takes into account this reserve of resistance is inevitably the effective width method. The direct strength method has been developed to improve the speed and efficiency of the design of thin-walled profiles. The latter mainly uses the buckling loads (for Local, Distortional and Global mode) obtained from a numerical analysis and the resistance curves calibrated experimentally to predict the ultimate load of the profile. Among those, the behavior of a set of Cshaped profiles (highly industrialized) is studied, this type of section is assumed to be very prone to modes of local and distortional instability. The outcome of this investigation revealed very relevant conclusions both scientifically and practically.


Author(s):  
Jianxun Du ◽  
Peng Hao ◽  
Kai Liu ◽  
Lin’an Li ◽  
Mabao Liu

With the increasing damage of lives and properties caused by impact accidents, thin-walled tubes have been widely employed to make energy-absorbing structures in the field of automotive engineering due to their lightweight and energy absorption ability. In this work, we proposed three kinds of thin-walled bio-mimetic tubes inspired by horsetail plants and investigated the energy absorption abilities of the above structures with hollow columns under impact loading by means of the finite-element method. The effect of three factors, including column diameter, wall thickness, and impact angle, on the energy absorption characteristics of the bio-mimetic structure, is discussed. The primary outcome of this research is a design method for the use of thin-walled multi-cell tubes for an energy absorption device where impact loading is expected. It was also found that the energy absorption performances of the hexagonal structures are better than that of the triangular and quadrilateral ones. Moreover, the results revealed that the absorbed energy by thin-walled bio-mimetic structures shows more dependence on the impact angle than on the wall thickness of the tube.


2018 ◽  
Vol 762 (8) ◽  
pp. 36-39 ◽  
Author(s):  
B.G. BULATOV ◽  
◽  
R.I. SHIGAPOV ◽  
M.A. IVLEV ◽  
I.V. NEDOSEKO ◽  
...  

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