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Manuscript ID : JSM-2003-1563 (R1) Visit : 533 Page: 1 - 18

https://doi.org/10.60664/jsm.2023.0031563

20.1001.1.20083505.2023.15.1.1.8

Article Type: Original Research

The Frequency Response of Intelligent Composite Sandwich Plate Under Biaxial In-Plane Forces

Subject Areas : Mechanical Engineering

A. A Ghorbanpour-Arani 1 , Zahra Khoddami Maraghi 2 , Ali Ghorbanpour Arani 3

1 - School of Mechnical Engineering, College of Engineering, University of Tehran, Tehran, Iran
2 - Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran
3 - Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran-----Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Received: 2022-09-01 Accepted : 2022-11-17 Published : 2023-03-01

Keywords: Feedback control system, Sandwich structures, Nanocomposite core, Magnetostrictive face sheets,

Abstract :

This paper investigates the frequency response of a smart sandwich plate made of magnetic face sheets and reinforced core with nano-fibers. The effective elastic properties of composite core reinforced with carbon nanotube are estimated by the extended rule of Mixture. The orthotropic visco-Pasternak foundation is examined to study orthotropic angle, damping coefficient, normal, and shear modulus. The top and bottom face sheets of the sandwich are magnetic and their vibrations are controlled by a feedback control system and magneto-mechanical couplings. Also, the sandwich plate is subjected to the compression and extension in-plane forces in both x and y directions. Five coupled equations of motion are derived using Hamilton’s principle. These equations are solved by the differential quadrature method. The analysis performed by the third-order shear deformation theory (Reddy’s theory) shows useful details of the effective parameters such in-plane forces, modulus of elastic foundation, core-to-face sheet thickness ratio and controller effect of velocity feedback gain on the dimensionless frequency of the sandwich plate. The analysis of such structures can be discussed in the military, aerospace and civil industries.

References:


  1. Reddy J.N., 2003, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press, Boca Raton.
    2.
  2. Mohammadimehr M., Rousta Navi B., Ghorbanpour Arani , 2017, Dynamic stability of modified strain gradient theory sinusoidal viscoelastic piezoelectric polymeric functionally graded single-walled carbon nanotubes reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermo-electro-magneto-mechanical loadings, Mechanics of Advanced Materials and Structures 24(16): 1325-1342.
    3.
  3. Mohammadimehr M., Mohammadimehr M.A., Dashti P., 2016, Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method, Applied Mathematics and Mechanics 37(4): 529-554.
    4.
  4. AkhavanAlavi S.M., Mohammadimehr M., Edjtahed S.H., 2019, Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method, European Journal of Mechanics A/Solids 74: 449-461.
    5.
  5. Ghorbanpour Arani A., Rousta Navi B., Mohammadimehr M., 2016, Surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by CNT using various approaches, Advanced Composite Materials 25(5): 423-441.
    6.
  6. Alipour M.M., Shariyat M., 2020, Using orthotropic viscoelastic representative elements for C1-continuous zigzag dynamic response assessment of sandwich FG circular plates with unevenly damaged adhesive layers, Mechanics Based Design of Structures and Machines 49(3): 355-380.
    7.
  7. Panda S., Ray M.C., 2009, Active control of geometrically nonlinear vibrations of functionally graded laminated composite plates using piezoelectric fiber reinforced composites, Journal of Soundand Vibration 325(1-2): 186-205.
    8.
  8. Wang Z.X., Shen H.S., 2012, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Composites Part B: Engineering 43(2): 411-421.
    9.
  9. Lei Z.X., Liew K.M., Yu J.L., 2013, Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment, Composite Structures 106: 128-138.
    10.
  10. Natarajan S., Haboussi M., Manickam G., 2014, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets, Composite Structures 113: 197-207.
    11.
  11. Malekzadeh K., Khalili S.M.R., Abbaspour P., 2010, Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses, Composite Structures 92: 1478-1484.
    12.
  12. Lee S.J., Reddy J.N., Rostam-Abadi F., 2004, Transient analysis of laminate embedded smart-material layers, Finite Elementsin Analysis and Design 40(5-6): 463-483.
    13.
  13. Hong C.C., 2010, Transient responses of magnetostrictive plates by using the GDQ method, European Journal of Mechanics A/Solids 29(6): 1015-1021.
    14.
  14. Sahoo R., Singh B.N., 2013, A new shear deformation theory for the static analysis of laminated composite and sandwich plates, International Journal of Mechanical Sciences 75: 324-336.
    15.
  15. Ghorbanpour Arani A., Khoddami Maraghi Z., 2016, A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory, Ain Shams Engineering Journal 7(1): 361-369.
    16.
  16. Zhang L.W., Lei Z.X., Liew K.M., 2015, Vibration characteristic of moderately thick functionally graded carbon nanotube reinforced composite skew plates, Composite Structures 122: 172-183.
    17.
  17. Kiani Y., 2016, Free vibration of functionally graded carbon nanotube reinforced composite plates integrated with piezoelectric layers, Computers & Mathematicswith Applications 72(9): 2433-2449.
    18.
  18. Selim B.A., Zhang L.W., Liew K.M., 2017, Active vibration control of CNT reinforced composite plates with piezoelectric layers based on Reddy’s higher-order shear deformation theory, Composite Structures 163: 350-364.
    19.
  19. Lei Z.X., Zhang L.W., Liew K.M., 2016, Vibration of FG-CNT reinforced composite thick quadrilateral plates resting on Pasternak foundations, EngineeringAnalysis with Boundary Elements 64: 1-11.
    20.
  20. Duc N.D., Lee J., Nguyen-Thoi T., Thang P.T., 2017, Static response and free vibration of functionally graded carbon nanotube-reinforced composite rectangular plates resting on Winkler-Pasternak elastic foundations, Aerospace Scienceand Technology 68: 391-402.
    21.
  21. Keleshteri M.M., Asadi H., Wang Q., 2017, Large amplitude vibration of FG-CNT reinforced composite annular plates with integrated piezoelectric layers on elastic foundation, Thin-Walled Structures 120: 203-214.
    22.
  22. Mohammadimehr M., Salemi M., Rousta Navi B., 2016, Bending, buckling, and free vibration analysis of MSGT microcomposite Reddy plate reinforced by FG-SWCNTs with temperature- dependent material properties under hydro-thermo-mechanical loadings using DQM, Composite Structures 138: 361-380.
    23.
  23. Ansari R., Torabi J., Hasrati E., 2018, Axisymmetric nonlinear vibration analysis of sandwich annular plates with FGCNTRC face sheets based on the higher-order shear deformation plate theory, Aerospace Scienceand Technology 77: 306-319.
    24.
  24. Shen H.S., Wang H., Yang D.Q., 2017, Vibration of thermally postbuckled sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations, International Journal of Mechanical Sciences 124-125: 253-262.
    25.
  25. Fazzolari F.A., 2018, Thermoelastic Vibration and Stability of Temperature-Dependent Carbon Nanotube-Reinforced Composite Plates, Composite Structures 196: 199-214.
    26.
  26. Parida S., Mohanty S.C., 2019, Nonlinear free vibration analysis of functionally graded plate resting on elastic foundation in thermal environment using higher-order shear deformation theory, Scientia Iranica B 26(2): 815-833.
    27.
  27. Sahoo S.S., Hirwani C.K., Panda S.K., Sen D., 2018, Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: An experimental validation, Scientia Iranica B 25(4): 2218-2232.
    28.
  28. Shen H.S., 2009, Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments, Composite Structures 91: 9-19.
    29.
  29. Han Y., Elliott J., 2007, Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Computational Materials Science 39(2): 315-323.
    30.
  30. Griebel M., Hamaekers J., 2004, Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites, Computer Methodsin Applied Mechanics and Engineering 193(17-20): 1773-1788.
    31.
  31. Sawi A.M.K., Farag M.M., 2007, Carbon nanotube reinforced composites: potential and current challenges, Materials and Design 28(9): 2394-401.
    32.
  32. Fidelus J.D., Wiesel E., Gojny F.H., Schulte K., Wagner H.D., 2005, Thermo- mechanical properties of randomly oriented carbon/epoxy nanocomposites, Composites Part A 36(11): 1555-1561.
    33.
  33. Hong C.C., 2009, Transient responses of magnetostrictive plates without shear effects, International Journalof Engineering Science 47(3): 355-362.
    34.
  34. Krishna M., Anjanappa M., Wu Y.F., 1997, The use of magnetostrictive particle actuators for vibration attenuation of flexible beams, Journal of Soundand Vibration 206(2): 133-149.
    35.
  35. Daneshmehr A., Rajabpoor A., Pourdavood M., 2014, Stability of size dependent functionally graded nano-plate based on nonlocal elasticity and higher order plate theories and different boundary conditions, International Journalof Engineering Science 82: 84-100.
    36.
  36. Wang C.M., Reddy J.N., Lee K.H., 2000, Shear Deformable Beams and Plates: Relationships with Classical Solutions, Elsevier Science Ltd, UK.
    37.
  37. Reddy J.N., 2017, Energy Principles and Variational Methods in Applied Mechanics, John Wiley and Sons Publishers, Texas.
    38.
  38. Ghorbanpour Arani A., Vossough H., Kolahchi R., Barzoki A.M., 2012, Electro-thermo nonlocal nonlinear vibration in an embedded polymeric piezoelectric micro plate reinforced by DWBNNTs using DQM, Journalof Mechanical Science and Technology 26(10): 3047-3057.
    39.
  39. Kutlu, Omurtag M.H., 2012, Large deflection bending analysis of elliptic plates on orthotropic elastic foundation with mixed finite element method, International Journal of Mechanical Sciences 66(1): 64-74.
    40.
  40. An C., Su J., 2014, Dynamic analysis of axially moving orthotropic plates: Integral transform solution, Applied Mathematics and Computation 228: 489-507.
    41.
  41. Shu C., 2000, Differential Quadrature and its Application in Engineering, Springer Publishers Singapore.
    42.
  42. Mohammadimehr M., Shahedi S., Rousta Navi B., 2017, Nonlinear vibration analysis of FG-CNTRC sandwich Timoshenko beam based on modified couple stress theory subjected to longitudinal magnetic field using generalized differential quadrature method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231(20): 3866-3885.
    43.
  43. Leissa A.W., 1973, The free vibration of rectangular plates, Journal of Soundand Vibration 31(3): 257-293.
    44.
  44. Bardell N.S., 1989, The application of symbolic computing to the hierarchical finite element method, International Journal for Numerical Methods in Engineering 28(5): 1181-1204.
    45.
  45. Wang X., Wang Y., Chen R., 1998, Static and free vibrational analysis of rectangular plates by the differential quadrature element method, CommunicationsIn Numerical Methods In Engineering 14: 1133-1141.
    46.
  46. Komkov V., 1972, Optimal Control Theory for the Damping of Vibrations of Simple Elastic Systems, Springer-Verlag, Berlin-New York.
    47.

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