Mechanics

Problems of Mathematical Modeling of Knocking Engine for Perspective Aircrafts

Authors: Shindyapin G. P., Sapunkov Y. G., Shevirev S. P.

This research contains one of the world-class developed authorized approaches of computing gas-dynamic properties for pulse knocking engine with diffuser. Constructed mathematical model and computational experiment on it demonstrates that diffuser is increasing knocking engine efficiency.

The Numerical Investigation of the Shock wave Nonlinear Refraction on the Surface which Separate Gaseous and Gas-liquid Mediums

Authors: Shindyapin G. P., Matutin A. A.

In work the class of tasks of a nonlinear refraction of shock waves is examined. Research is reduced to the decision of regional tasks of refraction. For the decision of the received regional tasks the theory of interaction of shock waves in gas-liquids environments (biphasic), generalizing the theory of interaction in single-phase environments is constructed asymptotic. The numerical method of the decision of regional tasks for areas with significant gradients of parameters (areas of short waves) is constructed.

Application of a Spline-Collocation Method to the Problems of Thick Viscoelastic Plate-Strip Vibrations

Authors: Nedorezov P. F.

Vibratory bend of a thick plate-strip with arbitrary edge fixing is considered. The equations of 3D viscoelastic theory in displacements are accepted as governing equations. Boundary problem dimensions reduction is realized with spline-collocation method. 1D boundary problem is solved numerically using discrete orthogonalization method. New effects that cannot be explained with the classic Kirhgof theory are mentioned.