In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...

In this research static deflection and free vibration of homogeneous nanobeams coated by a functionally graded (FG) layer is investigated according to the nonlocal elasticity theory. A higher order beam theory is used that does not need the shear correction factor. The equations of motion (equilibrium equations) are extracted by using Hamilton’s principle. The material properties are considered...

Ultrasonic measurements for experimentally determining third order elastic constants (TOECs) typically utilize multiple setups for bulk waves with directions of propagation parallel and perpendicular to the direction of applied stress. Experiments can be tedious and may require access to both sides of a specimen, which can be problematic in field applications for propagation parallel to the loa...

In this research, analysis of nonlocal magneto-electro-thermo-elastic of a functionally graded nanobeamdue to magneto-electro-elastic loads has been done. In order to formulate the problem the Timoshenko theory of beams is utilized. The principle of virtual work, Hamilton’s principle as well as nonlocal magneto-electro-thermo-elastic relations has been recruited to derive the governing eq...

Fundamental issues as the determination of gravity vacuum state, the mechanism which led the early universe to the today observed large scale structures, and the prediction of what will be the fate of the whole universe are all connected to the determination of cosmological constant. Besides, from several points of view, it seems that Einstein’s theory of gravity must be generalized to higher–o...

This paper features the modeling and design of a Robust Decentralized Fast Output Sampling (RDFOS) Feedback control technique for the active vibration control of a smart flexible multimodel Euler-Bernoulli cantilever beams for a multivariable (MIMO) case by retaining the first 6 vibratory modes. The beam structure is modeled in state space form using the concept of piezoelectric theory, the Eul...