Spatial Analogues of Numerical Quasiconformal Mapping Methods for Solving Identification Problems in Anisotropic Media

The approach to solving the gradient problems of image reconstruction of spatial bodies using applied quasipotential tomographic data that is based on numerical complex analysis methods is extended to cases of anisotropic media. Here the distribution of eigen-directions of the conductivity tensor is considered a priori known. We propose to identify the parameters of the corresponding quasiideal stream by the way of minimizing the functional of the sum of squares of residuals which constructed using differential equations in partial derivatives that relate the quasipotential of velocity and the spatially quasicomplex conjugated stream functions

Oscillations of a Dissipative Mechanical System Consisting of Solids

The paper deals with self-induced and forced linear oscillations, dissipative mechanical systems consisting of spatial bodies. The problem is solved by the Mueller method, the Gauss method, and the methods of theoretical mechanics. When solving the problems of intrinsic and forced oscillations of dissipatively inhomogeneous mechanical, new regularities of energy dissipation of mechanical systems are discovered.

An Improved Fast Algorithm of Spacecraft Separation Distance Calculation

A faster algorithm for calculating the shortest distance between two spatial bodies based on existing algorithms was presented. A simulation analysis of missile models separation process was built by using this algorithm. The simulation proved that this algorithm has the same precision and faster speed compared with other existing algorithms.

Mixed Planar and Spatial Modeling for Multibody Dynamics

In the process of formulating and analyzing multibody dynamics problems, situations often arise where the desire to mix planar and spatial models naturally occurs. In the analysis of vehicle powertrains, for example, there are relatively few spatial bodies, such as the engine and transmission casing, but many planar elements, such as the gearing inside the transmission. The current study differs from prior work using Euler-Lagrange techniques by developing the ability to mix three-dimensional component body and two-dimensional planar kinematic elements within a single system model. While this study was performed specifically for the modelling of vehicle powertrains, the assumptions, analysis and transformations that enable planar elements to be mixed with spatial bodies are of broad applicability in the field of multibody dynamics.