Normalized mutual power of radiation, active and reactive, has been analyzed in this paper. The sound source is an annular plate, clamped to a planar, rigid and infinite baffle. The plate’s vibrations are axisymmetric and sinusoidal with respect to time. A Kirchhoff-Love’s model of a perfectly elastic plate has been used. First, the integral formulas for the mutual sound power have been present...

Smart adaptive structures and structronic systems have been increasingly investigated and developed in the last two decades. Although smart structures made of piezoelectrics, shape-memory materials, electrostrictive materials, and electro-/magnetorheological fluids have been evaluated extensively, studies of magnetostrictive continua, especially generic mathematical model(s), are still relative...

The first complete linear theory, based on Kirchhoff’s [1850] earlier works on plates, was given by Love [1888]. The modern theory (linear and nonlinear) comes from the works by Naghdi and Koiter in the sixties. In such models the displacement variables are functions defined on the mean surface and the resulting equations are differential equations on a smooth 2-dimensional submanifold of the t...

The problem of a low-velocity normal impact rigid sphere upon an infinite viscoelastic Kirhhoff-Love plate is considered. dynamic behaviour the described by fractional derivative standard linear solid model. parameter defining order governs variation in viscosity plate’s material within contact domain during process. local bearing under sphere’s indentation, as well force are defined via genera...

In this paper, PZT actuators are used to study the dynamic behavior of a rotating disk structure due to rotor-stator interaction excitation. The disk is studied with two different surrounding fluids-air and water. The study has been performed analytically and validated experimentally. For the theoretical analysis, the natural frequencies and the associated mode shapes of the rotating disk in ai...

Thin and slender structures are widely occurring both in nature and in human creations. Clever geometries of thin structures can produce strong constructions while using a minimal amount of material. Computer modeling and analysis of thin and slender structures has its own set of problems stemming from assumptions made when deriving the equations modeling their behavior from the theory of conti...

The paper considers equilibrium models of Kirchhoff-Love plates with rigid inclusions two types. first type inclusion is described by three-dimensional sets, the second one corresponds to a cylindrical inclusion, which perpendicular plate’s median plane in initial state. For both models, we suppose that there through crack along fixed part inclusion’s boundary. On non-penetration conditions are...

The research object of this work is an orthotropic viscoelastic plate with arbitrarily varying thickness. was subjected to dynamic periodic load. Within the Kirchhoff–Love hypothesis framework, a mathematical model built in geometrically nonlinear formulation, taking into account tangential forces inertia. Bubnov–Galerkin method, based on polynomial approximation deflection and displacement, us...

This work focuses on finite element formulations for the accurate modeling and efficient simulation of the implicit dynamics of slender fiberor rod-like components and their contact interaction when being embedded in complex systems of fiber-based materials and structures. Recently, the authors have proposed a novel all-angle beam contact (ABC) formulation that combines the advantages of existi...