The vibration of the cylindrically curved sandwich plate with rheological core and nanocomposite face sheets rested on the Winkler–Pasternak foundation

Abstract

In this research, the vibration analysis of a cylindrically curved sandwich plate rested on Winkler–Pasternak foundation is investigated. The curved sandwich plate consists of a rheological core and nanocomposite top and bottom layers which are included in polyvinylidene fluoride matrix and carbon nanotubes fiber. The core has electric properties, and it is affected by applying electric fields. At first, the governing relations for different layers are written, separately, in order to determine the constitutive equations of the cylindrically curved sandwich plate. Then, differential motion equations are derived by applying the energy method and Hamilton’s principle. With regard to achieving the set of coupled equations, an appropriate analytical approach is proposed to solve them which can be considered as SSCC and SSSS boundary conditions. Also, it is observed that increasing the volume fraction of carbon nanotubes in face sheets leads to increase in the stability of the electro-rheological sandwich plate. This finding can be employed to design building smart structures, military, aviation, marine and automotive.

Magneto‐/ electro‐responsive polymers toward manufacturing, characterization, and biomedical/ soft robotic applications

“…MREs [412] , EMREs [413] , and ERPs [414] are the most commonly used MERPs in the design of dynamic systems. Moreover, unlike shape morphing applications, in MRP-based dynamic systems, soft magnetic particles such as IOs are mostly used due to their ability in enduring large deformation and stiffening effect upon magnetic fields.…”

Free vibration analysis of composite face sandwich plate strengthens by Al2O3 and SiO2 nanoparticles materials

“…Energy and Hamilton's are used to formulate equations of motion. The results show that the natural frequency of the whole structure becomes tougher with an increased volume fraction of CNTs [46]. Shakouri and Mohseni (2020) graphene nanoplatelet supporting faces and Fourier series describe the displacement.…”

Free vibration analysis of cylindrical sandwich panel with electro-rheological core and FG-GPLRC facing sheets based on First order shear deformation theory referred by Qatu

“…Based on classical thin plate theory for face sheets and first order shear theory for the core layer, free and forced vibration of a sandwich plate with electro-rheological fluid core and functionally graded facing layers was investigated by Gholamzadeh Babaki and Shakouri (2019). Based on classical plate theory for face layer, Exact solution for SSSS and SSCC sandwich cylindrically curved panel with ER core and CNTRC facing sheets rested on Winkler Pasternak foundation was performed by Ghorbanpour Arani and Jamali (2020). Within the framework of modified couple stress theory, vibration characteristics of a micro cylindrical sandwich panel with foam core and graphene platelets reinforced composite (GPLRC) resting on elastic foundation is studied by Anvari et al (2020).…”