Sentence examples for by analytical examples of from inspiring English sources

The proposed formulation is verified by analytical examples of simple spring bar systems.

By parametric analysis of analytical examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of saddle membrane structures; the arch-to-span ratio ε and span ratio λ are the main control parameters of the critical wind velocity.

The nonlinear transmission conditions that accompany such an imperfect interface are evaluated, and their accuracy is verified by means of dedicated analytical examples as well as carefully designed FEM simulations.

Two analytical examples confirm the validity of the approach.

A set of general principles for lightweight design are proposed by way of a simple analytical example, and are then applied to five case study products which cumulatively account for 30% of global steel product output.

This paper has given insight into the fundamentals of the CopDiff database, described its content, and by giving examples of statistical analytical approaches, hopefully inspired researchers to develop possible future uses.

Optimization of bulkhead structures was carried out as analytical example.

A general overview of the locus of looping branches is supplied by analytical estimates and numerical examples.

The validity of this new approach is verified by analytical tests and numerical examples.

The method is demonstrated by analytical, numerical and experimental examples.

The studies conducted by Philipp and his team [ 86- 88] were examples of analytical cross-sectional studies, in that unexposed individuals served as controls for statistical comparison of illness reporting.