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In an arbitrary local region, the work theorem establishes an energy relationship between a statically-admissible stress field and an independent kinematically-admissible strain field. Based on the independence of these two fields, this formulation results in a local form of the work theorem that is reduced to regular boundary terms only ...
The displacement field associated with this forced is defined by releasing the structural restraints acting on the point where is applied and imposing a relative unit displacement that is kinematically admissible in the negative direction, represented as =.
The Ritz method, [9] based on the shell theory, [10] is frequently utilised for dynamic analysis of carbon nanotubes (CNTs). The Ritz method, connected to Hamilton's principle, is employed to determine the equilibrium state and minimize the energy functional of a conservative structural system undergoing kinematically admissible growth or deformation.
In classical mechanics, the Udwadia–Kalaba formulation is a method for deriving the equations of motion of a constrained mechanical system. [1] [2] The method was first described by Anatolii Fedorovich Vereshchagin [3] [4] for the particular case of robotic arms, and later generalized to all mechanical systems by Firdaus E. Udwadia and Robert E. Kalaba in 1992. [5]
The first kinematically complete experiment on single ionization by ion impact was performed by momentum analyzing the recoil ions and the ejected electrons. [3] For proton impact at much smaller energy kinematically complete experiments were also performed by momentum-analyzing the scattered projectiles and the recoil ions. [ 4 ]
Kinematic determinacy is a term used in structural mechanics to describe a structure where material compatibility conditions alone can be used to calculate deflections. [1] A kinematically determinate structure can be defined as a structure where, if it is possible to find nodal displacements compatible with member extensions, those nodal displacements are unique.
Kinematically, it is the conversion of a motion idea into hardware. The earliest machines were designed to amplify human and animal effort, later gear trains and linkage systems captured wind and flowing water to rotate millstones and pumps .
Dalitz plot for a three-body decay of a spin-0 particle of the mass into three spin-0 particles of masses , , .The grey area depicts the allowed kinematic region. The blue line shows a possible position of accumulation of events in case a spin-0 resonance is present as an intermediate state in this three-body decay, which then decays to particles 1 and 2.