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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.
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.
Kinematics is a subfield of physics and mathematics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.
The actual displacement of the marble is zero. It is our desire, however, to bring the marble to a neighboring position in order to see how the potential energy changes. A displacement of this nature is called a "virtual displacement." The term "virtual" indicates that the displacement was intentionally made in any kinematically admissible ...
example of a Maxwell kinematic coupling. The principles of this coupling system were originally published by James Clerk Maxwell in 1871. [2] The Maxwell Kinematic system consists of three V-shaped grooves that are oriented to the center of the part, while the mating part has three curved surfaces that sit down into the three grooves. [1]
The figure on the left shows a two-hinged trunk lid. The calculated mobility for the lid relative to the car body is zero, yet it moves as its hinges (which are pin joints) have colinear axes. In this case, the second hinge is kinematically redundant.