Thermoelastoplastic state of discretely inhomogeneous orthotropic bodies of revolution with a nonlinear shear characteristic

The article proposes a solution to the problem of increasing the accuracy of determining the main shaping dimensions of axisymmetric parts through a control system that implements the optical method of spatial resolution. The influence of the projection error of a passive optical system for controlling the geometric parameters of bodies of revolution from the image of its sections, obtained by a digital camera with non-telecentric optics, on the measurement accuracy is shown. Analytical dependencies are derived that describe the features of the transmission of measuring information of a system with non-telecentric optics in order to estimate the projection error. On the basis of the obtained dependences, a method for compensating the projection error of the systems for controlling the geometry of the main shaping surfaces of bodies of revolution has been developed, which makes it possible to increase the accuracy of determining dimensions when using digital cameras with a resolution of 5 megapixels or more, equipped with short-focus lenses. The possibility of implementing the proposed technique is confirmed by the results of experimental studies.

Download Full-text

On compressible flow about bodies of revolution

Quarterly of Applied Mathematics ◽

10.1090/qam/17089 ◽

1946 ◽

Vol 4 (2) ◽

pp. 191-193 ◽

Cited By ~ 4

Author(s):

W. R. Sears

Keyword(s):

Compressible Flow ◽

Bodies Of Revolution

Download Full-text

An elastic phenomenological material law of technical textile with a nonlinear shear behaviour

Journal of Reinforced Plastics and Composites ◽

10.1177/07316844211005842 ◽

2021 ◽

pp. 073168442110058

Author(s):

Dániel T Karádi ◽

András A Sipos ◽

Marianna Halász ◽

Viktor Hliva ◽

Dezső Hegyi

Keyword(s):

Service Level ◽

Shear Behaviour ◽

Nonlinear Behaviour ◽

Exponential Functions ◽

Normal Stiffness ◽

Material Parameters ◽

Fitting Method ◽

Highly Nonlinear ◽

Nonlinear Shear ◽

Magnitude Difference

In technical textile engineering, macro-level phenomenological modelling effectively describes the material’s highly nonlinear behaviour. However, existing material laws concentrate on the normal stiffness in the orthotropic yarns and simplify the shear effect because of the two orders of magnitude difference between shear and normal stiffness. This article introduces an improved phenomenological model that includes nonlinear shear behaviour, and it determines the material parameters with a previously applied data fitting method for exponential functions. The nonlinear shear behaviour is valid for the elastic state, that is, at the service level of the loads. Time-dependent, cyclic loading or plastic behaviour is not considered.

Download Full-text