We treat space and time as bona fide quantum degrees of freedom on an equal footing in Hilbert space. Motivated by considerations gravity, we focus a paradigm dealing with linear, first-order Hamiltonian momentum constraints that lead to emergent features temporal spatial translations. Unlike the conventional treatment, show Klein-Gordon Dirac equations relativistic mechanics can be unified our...

Abstract. A novel approach for free vibration analysis of train body structures is introduced by using the Carrera Unified Formulation (CUF) and Dynamic Stiffness Method (DSM). Higher-order kinematic fields are developed Formulation, which allows straightforward implementation any-order theory without need ad hoc formulations, in case beam theories. In particular, parallel axis theorem on basis...

A fluid–structure interaction model in a port-Hamiltonian representation is derived for classical guitar. After discretization, we combine the laws of continuum mechanics solids and fluids within unified (pH) modelling approach by adapting equations through an appropriate coordinate transformation on second-order level. The high-dimensionality resulting system reduced order reduction. article f...

The radiation impedance is an essential parameter in analyzing the vibroacoustic response of planar source. In order to calculate acoustic rectangular plate with arbitrary boundary conditions, a unified approximate approach proposed this study. displacement function expressed form supplemented two-dimensional Fourier cosine series, which can be solved by Rayleigh–Ritz method. radiated field fro...

It is shown that one can link in a continuous manner the Painlevé–Gullstrand partial extension to Kruskal–Szekeres maximal analytical extension, and thus exhibit of Schwarzschild metric unified picture. This done by finding coordinate system adopts two time coordinates, being proper congruence outgoing timelike geodesics, other ingoing both parametrized same energy per unit mass E. E range 1?E<...

geospatial information system (gis) has emerged as a very powerful tool for capturing, storing, analyzing, managing, and presenting data that is linked to location. the location information, which is usually obtained from existing maps or the global positioning systems (gps), refers to different coordinate and map projection systems. therefore, unification of the coordinate and mapping systems ...

In this paper, a discount model is proposed to coordinate pricing and ordering decisions in a two-echelon supply chain (SC). Demand is stochastic and price sensitive while lead times are fixed. Decentralized decision making where downstream decides on selling price and order size is investigated. Then, joint pricing and ordering decisions are extracted where both members act as a single entity ...

the six-degree equations of flight in their classic form do not provide a proper physical perception due to a number of interferences. nor do they render visible the important role of attack angles. in this study, attempts have been made to develop a complete set of 3d acceleration equations from the equations of normal and tangential acceleration αn=vωv, αt=v ̇. for this purpose, a coordinate s...