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The equation of motion is derived by the principle of virtual work.
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The equilibrium equations and natural boundary conditions are derived by the principle of virtual power.
Equations of motion are derived by the principle of virtual work and numerical solutions are obtained by a finite element method.
Equations of motions are derived by the principle of virtual work, and Newton Raphson iterative method is applied to solve the nonlinear equations.
The ordinary differential equations of motion are derived by the principle of virtual work in conjunction with a p-version finite element formulation.
The equations of motion are derived by the principle of the virtual work and an approximated model is achieved by assuming that the in-plane and transverse displacement fields are given by weighted series of spatial functions.
The governing equation of motion is derived by the Hamilton's principle.
A thermodynamic model for the kinetics of diffusional phase transformation in multi-component systems and motion of the polyfurcated Kirkendall plane is derived by the thermodynamic extremal principle.
The formulation of multivariable wavelet-based FEM is derived by the Hellinger Reissner generalized variational principle with two kinds of independent variables.
The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d'Alembert principle and the virtual work principle.
The governing equations are derived by the variational principle.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com