By exploiting the mathematical analogy between the propagation of sound in a nonhomogeneous potential flow and the propagation of a scalar field in curved space-time, various wave "energy" and wave "momentum" conservation laws are established in a systematic manner. In particular, the acoustic energy conservation law due to Blokhintsev appears as the result of the conservation of a mixed covari...

Abstract In this work we discuss the deformed relativistic wave equations, namely Klein–Gordon and Dirac equations in a doubly special relativity scenario. We employ what call geometric approach, based on geometry of curved momentum space, which should be seen as complementary to more spread algebraic one. frame are able rederive well-known expressions, well treat yet unresolved issues, wit, ex...

Doubly special relativity has been studied for the last 20 years as a way to go beyond relativistic kinematics, trying capture residual effects of quantum gravity theory. In particular, in doubly relativity, Einstenian principle is generalized, adding speed light another invariant, Planck energy. There are several papers literature showing connection between this deformed kinematics and curved ...

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

In this paper, the free vibration characteristics of various coupled composite laminated doubly curved revolution shells are investigated under generalized boundary conditions (BCs). The joint shell structure consists a shell–cylindrical shell–doubly structure, and here, unlike previous structures, inversely joined together. such as elliptical, paraboloidal, spherical considered. first order sh...

Three-dimensional transient deformations of clamped flat and doubly curved polycarbonate (PC) panels impacted by a rigid smooth hemispherical-nosed circular cylinder have been numerically studied by the finite-element (FE) method to delineate effects of the panel radius of curvature to its thickness ratio on their penetration resistance. The PC is modeled as thermoelastoviscoplastic with the ef...

The ability to control nonlinear interactions of suspended mechanical structures offers a unique opportunity to engineer rich dynamical behavior that extends the dynamic range and ultimate device sensitivity. We demonstrate a displacement sensing technique based on resonant frequency monitoring of curved, doubly clamped, bistable micromechanical beams interacting with a movable electrode. In th...

Abstract. In the present work, a two-dimensional model based on higher order Layer-Wise (LW) approach is presented for static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology also obtained as particular case LW. Each lamina stacking sequence modelled an continuum. fundamental equations account both surface concentrated loads, well...