Sentence examples for by using Lagrange equation from inspiring English sources

The governing equations of motion are obtained by using Lagrange equation.

The governing system of two coupled non-linear partial differential equations is discretized by using Lagrange equations.

Taking into account the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to rotation, governing equations of the nonlinear rotating cylindrical shell with simply supported conditions are derived by using Lagrange equations.

The full nonlinear coupled dynamics denoted by "model 1" is established using Lagrange equation method based on the calculation of the kinetic energy, strain energy, the dissipation function and the external loads respectively.

The equation of motion is derived by using Lagrange's equation and analyzed by numerical method.

It is based on the assumed mode method, where natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion.

Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners.

The coupled dynamic model is established by using Lagrange's equation under this constraint condition.

The equation of motion is derived by using Lagrange's equations.

The governing differential equations of motion are obtained by using Lagrange's equations.

The system of equations of motion is derived by using Lagrange's equations.