Sentence examples for displacement equations of from inspiring English sources

The governing displacement equations of motion are established and solved on the basis of the Galerkin procedure and the method of multiple scales.

A two-dimensional analytical model is developed to describe the free extensional vibrations of thin elastic plates of elliptical planform with or without a confocal cutout under general elastically restrained edge conditions, based on the Navier displacement equation of motion for a state of plane stress.

First, spatial nonlinear load-displacement equations of the tip of a beam, conditions of geometry compatibility and load-equilibrium conditions for a spatial three-beam module are derived.

Moreover, a class of multi-beam modules with four or more beams is proposed, and their general nonlinear load-displacement equations are obtained based on the approximate load-displacement equations of the three-beam module.

The contact problem is incorporated as boundary condition in the multigrid solution of the displacement equations for the volume.

The general solution of the equilibrium displacement equation for the dynamic thermoelastic problem in a hollow cylinder is decomposed into a thermoelastic solution satisfying given boundary conditions and an elastic solution satisfying homogeneous Cauchy boundary conditions.

Details of displacement sensitivity formulations are deduced from the displacement reanalysis equations of Independent Coefficients (IC) and Indirect Factorization Updating (IFU) strategies.

Equations of equilibrium; Strain displacement relations; Equations of compatibility for strains; Constitutive relations; Boundary conditions.

The strain displacement equation (Green-Lagrange representation of axial strain ε t ) is given in the following: ε t = d u t dx + 1 2 d u t dx 2 + 1 2 d v t dx 2 + 1 2 d w t dx 2, Open image in new window (7).

Jaw-movement trajectories were obtained as electrical signals from the sensors after being compensated by the output-to-displacement transformation equations of the sensors with a personal computer.

Based on linear strain-displacement relations, equations of motion and essential boundary conditions are derived from Hamilton's principle.