Sentence examples for methods the natural from inspiring English sources

Applying Galerkin methods, the natural frequency of the laminated orthotropic truncated conical shell for different boundary conditions, are obtained.

However, the development of many alternative technologies, along with multiple feedstock and product possibilities, made the superstructure based optimization methods the natural approaches to be pursued.

Large computational efforts are required for calculating by numerical methods the natural frequencies of such plates with different volume fractions of containing materials.

After discretizing the equations by the Galerkin method, the natural frequencies and mode shapes are computed.

According to this method, the natural philosopher should first infer from the known effect the existence of the cause of this very effect.

Using the transfer function method, the natural frequencies of a nonlocal Timoshenko cantilever with a tip mass are computed.

By using the proposed method, the natural ACL data can be mined out from the available big data of the aggregated residential load.

Using the dynamic stiffness matrix method the natural frequencies of the system can be determined which are analogous to the eigenvalues of the quantum graph.

By using the GDQ method, the natural frequencies can be easily and accurately obtained by using a considerably small number of grid points.

This work analyses such structural elements using the finite element method, an approximation meshless method (the element free Galerkin method) and three interpolation meshless methods (the radial point interpolation method, the natural neighbor radial point interpolation method and the natural radial element method).

By using the separation of variables method and the derived method from Ferrari's method, the natural frequency equations and the critical flow velocity equations of pipeline conveying fluid with both ends supported are obtained in mathematical decoupling.