Vibration control of magnetostrictive plate under multi- physical loads via trigonometric higher order shear deformation theory:

For the first time in this research, a feedback control system is used to study the free vibration response of rectangular plate made of magnetostrictive material. In this regard, magnetostrictive plate (MsP) is analyzed by trigonometric higher order shear deformation theory that involved six unknown displacement functions and does not require shear correction factor. The MsP is supported by elastic medium as Pasternak foundation which considers both normal and shears modules. Also the MsP undergoes in-plane forces in x and y directions. Considering simply supported boundary condition, six equations of motion are derived using Hamilton’s principle and solved by differential quadrature method. Results indicate the effect of aspect ratio, thickness ratio, elastic medium, compression and tension loads on vibration behavior of MsP. Also, findings show the controller effect of velocity feedback gain to minimize the frequency as far as other parameters become ineffective. These findings can be used to active no...

[1]  F. Moon,et al.  Magnetoelastic Buckling of a Thin Plate , 1968 .

[2]  C. Hong Transient responses of magnetostrictive plates without shear effects , 2009 .

[3]  R. Kolahchi,et al.  Electro-thermo nonlocal nonlinear vibration in an embedded polymeric piezoelectric micro plate reinforced by DWBNNTs using DQM , 2012 .

[4]  Carlos A. Mota Soares,et al.  Analyses of magneto-electro-elastic plates using a higher order finite element model , 2009 .

[5]  C. Guedes Soares,et al.  A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates , 2012 .

[6]  J. N. Reddy,et al.  Transient analysis of laminated composite plates with embedded smart-material layers , 2004 .

[7]  C. Guedes Soares,et al.  A new tangential-exponential higher order shear deformation theory for advanced composite plates , 2014 .

[8]  E. Pan,et al.  Non-linear principal resonance of an orthotropic and magnetoelastic rectangular plate , 2011 .

[9]  S. Khalili,et al.  Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses , 2010 .

[10]  A. Saidi,et al.  Effects of in-plane loads on vibration of laminated thick rectangular plates resting on elastic foundation: An exact analytical approach , 2013 .

[11]  Huu-Tai Thai,et al.  A simple refined theory for bending, buckling, and vibration of thick plates resting on elastic foundation , 2013 .

[12]  A. V. Krishna Murty,et al.  THE USE OF MAGNETOSTRICTIVE PARTICLE ACTUATORS FOR VIBRATION ATTENUATION OF FLEXIBLE BEAMS , 1997 .

[13]  C. Guedes Soares,et al.  A novel higher-order shear deformation theory with stretching effect for functionally graded plates , 2013 .

[14]  E. Asadi,et al.  Analysis of multiple axisymmetric annular cracks , 2009 .

[15]  S. Xiang,et al.  A nth-order shear deformation theory for natural frequency of the functionally graded plates on elastic foundations , 2014 .

[16]  Z. Kuang Physical variational principle and thin plate theory in electro-magneto-elastic analysis , 2011 .

[17]  Huu-Tai Thai,et al.  A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates , 2013 .

[18]  C. Hong Transient responses of magnetostrictive plates by using the GDQ method , 2010 .