Severe Impact on the Behavior of Energy Absorbing Cylindrical Base in Frontal Impact
الموضوعات : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیکعبدالمجید کنی 1 , اکبر علی بیگلو 2
1 - دانشجوی کارشناسی ارشد، دانشکده فنی‌مهندسی، دانشگاه بوعلی‌سینا، همدان، ایران
2 - دانشیار، دانشکده فنی‌مهندسی، دانشگاه بوعلی‌سینا، همدان، ایران
الکلمات المفتاحية: Natural frequency, Cylindrical shell, Piezoelectric, state space, method Kvadrachr differential equations,
ملخص المقالة :
In this paper, the vibration characteristics of multi-layer shell that internal and external surfaces with a layer of piezoelectric sensor and actuator is investigated. The backrest shell laminated with simple analytical method to evaluate and the results were compared with results obtained by other researchers. The numerical solution methods (GDQ) for shells with piezoelectric layers and plain bearings, compared with analytical solution and then a variety of boundary conditions is studied. Using the equations of motion, the fundamental equations and relations Krnsh- displacement, State-space equations derived the equations using approximate separate layer, State-space equations with constant coefficients will become. These equations can be solved using natural frequencies in the backrest shell simple to obtain. If the abutments are not simple, solving equations differentials State-space analysis is not possible and should be used numerical methods. A fourth difference method numerical method common with the small number of sample points can be exact to achieve. By dq, State-space differential equations are solved and the non-traction conditions by applying high and low levels, can be found at the natural frequency. The direct and inverse piezoelectric effect, piezoelectric layer and composite layer thickness ratio of the radius of the middle of a thick crust on the vibrational behavior is studied
[1] Bert CW., Jang SK., Striz AG., Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature, Computer Mechanics, 1998, pp. 217-226.
[2] Alibeigloo A., Shakeri M., Elasticity solution for the free vibration analysis of laminated cylindrical panels using the differential quadraure method, Composite Structures, vol. 81, 2007, pp. 105-113.
[3] Chen W.Q., Bian Z.G., Lv C.F., Ding H.J., 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid, Solid and Structure, vol. 41, 2004, pp. 947-964.
[4] Yun L.H., Yong L.Q., Xing L.Z., Chao W., Active control of the piezoelastic laminated cylindrical shell's vibration under hydrostatic pressure, Applied Mathematics and Mechanics, vol. 24, 2003, pp. 182-195.
[5] Santos H., Soares M.C., Reddy, J.N., A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: bending and free vibration, Computer and Structures, 2007.
[6] Alibeigloo A., Madoliat R., Static analysis of cross-ply laminated plates with integrated surface piezoelectric layers using differential quadrature, Composite Structures, 2008.
[7] Malekzadeh P., Farid M., Zahedinejad P., A three-dimensional layerwise-differential quadrature free vibration analysis of laminated cylindrical shells, Pressure Vessels and piping, vol. 85, 2008, pp. 450-458.
[8] Soong, T.V., A sub devisional method for linear system, AIAA/ASME Structures, 1970, pp. 211-223.
