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Luo Z.,Northeastern University China | Guo J.,Jiangsu Radio Factory Co. | Zhu Y.,University of Sheffield | Han Q.,Dalian University of Technology | Wang D.,AVIC Shenyang Aerospace engine Design Institute
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | Year: 2016

In allusion to the design problems of the rotating straight blade similitude model, a design method of the dynamic similitude model, with the consideration of the requirement of static strength, is presented. The rotating structure composed by the blade disk and single straight blade is considered as the research object, where the vibration theory of plates and shells is applied to establish the governing equation; and the inertial force and aerodynamic force of the rotating straight blade are equivalent to the effect of static load on the blade. The strength design criteria are established based on the stress analysis of the blade, and the equation analysis method is adopted to establish the dynamic scaling laws. The conclusion, that when the material of the model and the prototype are different, the incomplete geometric similitude model should be employed to meet the strength requirement, is theoretically proved. The effectiveness of the similitude design approach is validated by using the numerical simulation method in a designed example. The results provide some theory supplements for the dynamic similitude model design of such rotating plate components. © 2016 Journal of Mechanical Engineering. Source


Luo Z.,Northeastern University China | Zhu Y.,Northeastern University China | Chen X.,Northeastern University China | Zhao X.,University of Sheffield | Wang D.,AVIC Shenyang Aerospace engine Design Institute
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | Year: 2014

In allusion to the problem of designing the similitude test model of laminated composite plate, a confirm method of the structure size applicable interval of distortion test model is put forward under the condition to have the same nature characteristics. With the method of combining the dimensional analysis and governing equation analysis, the completely scaling laws and the distortion scaling laws between the model of laminated composite plate and its prototype are established, three scaling laws of the prototype are yielded. Then a laminated composite plate which is in common use is taken as an example, under the study of the structure size applicable interval which kept the same first-order nature characteristic (nature frequency and vibration mode), comparing with finite element analysis and resolving analysis to obtain the structure size applicable interval of distortion test model when the model and the prototype is in different orders with the same nature characteristics. Test results reveal that this work lays a theoretical foundation for the similar model structural design for such laminated composite plate. © 2014 Journal of Mechanical Engineering. Source


Luo Z.,Northeastern University China | Zhu Y.,Northeastern University China | Zhao X.,University of Sheffield | Wang D.,AVIC Shenyang Aerospace engine Design Institute
Journal of Engineering Mechanics | Year: 2016

This study investigates new dynamic scaling laws of geometrically distorted models in predicting the dynamic characteristics of a cantilever plate. The significance of this study is to provide new scaling laws and rules for selecting dynamic scaling laws, which guide the design of distorted models. By considering the size effect of different orders' vibration, a governing equation and the method of sensitivity analysis are employed to establish dynamic scaling laws between the model and the prototype. Both approximate and accurate scaling laws are investigated and the processes for determining these scaling laws are summarized. After that, a commonly used titanium alloy plate is analyzed as a prototype to compare the accuracy of the approximate scaling laws and the accurate scaling laws. Finally, the applicability of these new scaling laws is validated by experimental data. The results indicate that, by using the new scaling laws, the distorted models can predict the characteristics of the titanium alloy plate prototype with good accuracy. © 2015 American Society of Civil Engineers. Source


Luo Z.,Northeastern University China | Zhu Y.P.,Northeastern University China | Zhao X.Y.,University of Sheffield | Wang D.Y.,AVIC Shenyang Aerospace engine Design Institute
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science | Year: 2015

This study investigates the applicability of distortion models for predicting dynamic characteristics of a rotating thin-wall short cylindrical shell. The significance of this study is that it provides a necessary scaling law, applicable structure size intervals, and its boundary functions, which can guide the design of distortion models. Sensitivity analysis and governing equations are employed to establish the scaling law between the model and the prototype. Then a commonly used 7050 aluminum alloy cylindrical shell is analyzed as a prototype. The determination of applicable structure size intervals is discussed, and the boundary functions of the applicable structure size intervals are investigated. The applicability of the scaling law and the applicable intervals of rotating thin-wall short cylindrical shell are verified numerically. The results indicate that distortion models that satisfy the structure size applicable intervals can predict the characteristics of the prototype with good accuracy. © IMechE 2014. Source


Zhu Y.,Northeastern University China | Luo Z.,Northeastern University China | Zhao X.,University of Sheffield | Wang D.,AVIC Shenyang Aerospace engine Design Institute
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering | Year: 2016

In designing the test model of thin-walled cylindrical shells, geometrically distorted models are widely used. This study investigates a method of designing a distorted cylindrical shell model by considering the strength requirement, which means the test model should reflect the strength situation or even failures of the prototype. The significance of this study is that it provides an acceptable process which guides the design of test models. First, governing equations are employed to derive the scaling law of the natural frequency. The harmonic response is calculated in order to obtain the scaling law of the vibration response amplitude. As the study is based on governing equations of elastic cylindrical shells, only elastic behavior is discussed. Then considering the different materials' ultimate stress, an excitation force ratio is defined. An applicable size interval is investigated and the range of the excitation force is obtained. Finally, an aluminium alloy cylindrical shell is used as a prototype and a NO. 45 steel scaled down cylindrical shell is used as a distorted test model. The accuracy of the prediction is verified by using simulation data. © IMechE 2015. Source

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