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Vol 71, No 5 (2016)
- Year: 2016
- Articles: 5
- URL: https://journals.rcsi.science/0027-1330/issue/view/10004
Article
Random drift estimation for laser gyroscopes using filters based on the error equations of inertial navigation systems
Abstract
An algorithm based on the error equations of inertial navigation systems is proposed to estimate the random components of errors for laser gyroscopes. The estimation is performed using the navigation parameters of an inertial system or using the output signals of laser gyroscopes. In the second case, the proposed algorithm is a low-pass filter. Its frequency analysis is compared with other filters.
103-107
Perturbed stable systems on a plane. Part 1
Abstract
The possibility of extending the concept of rough dynamical systems in the presence of a time-varying perturbation defined up to a functional set in the space of piecewise continuous functions is considered. The constructability of this extension is achieved by the construction of limit cycles giving an estimate of attainability sets for oscillatory systems.
108-113
Brief Communications
Finite element analysis of shells of revolution using triangular discretization elements with corrective Lagrange multipliers
Abstract
A thin shell algorithm based on a special triangular finite element is described. The column of nodal variable parameters of this element additionally contains corrective Lagrange multipliers, which allows one to improve the conditions of compatibility between the elements in the framework of the variational formulation of the problem.
114-117
Methods of analytical mechanics in the constrained adaptive identification problems
Abstract
The application of analytical mechanics methods to the problem of adaptive identification is discussed. The estimated constant parameters satisfy nonlinear equations considered as parametric constraints. Some modifications of identification algorithms are proposed to satisfy such constraints.
118-121
An analytical solution of an axisymmetric problem of deforming an isotropic half-space with an elastic fixed boundary under the action of a distributed load
Abstract
An analytical solution to the axisymmetric problem on the action of a distributed load on an isotropic half-space when the load is given by a function dependent on the radial coordinate is obtained. The surface of the half-space is elastically fixed outside the circular domain of load application, the shear stresses are absent along the entire boundary, and the stresses vanish at infinity. At the boundary and inside the elastic half-space, the solutions are represented by the formulas for the stress tensor components and for the displacement vector components.
122-125