Abstract
To increase the strength and rigidity of the characteristics, the articulated elements of structural racing cars have a large ratio of axial moments of inertia of the cross sections. The method of solving boundary value problems of stability of the flat form of bending of racing car structural elements in the form of circular arches with sections having several axes of symmetry is obtained. In Formula Class cars, these elements are most responsible for the safety of the pilot. The system of integration of two differential equations of stability of the specified constructive elements of a car racing frame in the form of circular arches or curvilinear cores is executed in work. The numerical-analytical method of limiting elements developed by Professor V.F. Orobey was used for the research. The article presents two variants of systems of fundamental orthonormal functions for differential equations of stability of circular arches with constant coefficients obtained during research. The problem of stability of structural elements of racing cars on the geometry corresponding to circular arches is solved by a numerical method acquiring rapid development; the method has theoretically proved exact decisions. The equation obtained in the course of research is applicable to the solution of very complex problems of stability of various structures containing rods delineated along the arc of a circle. The equations can be used to solve very complex problems of stability of various structures containing rods drawn along the arc of a circle. Such structural elements are used in many designs of industrial engineering.
Highlights
The problem of stability of structural elements of racing cars on the geometry corresponding to circular arches is solved by a numerical method acquiring rapid development; the method has theoretically proved exact decisions
In order to improve the strength and stiffness characteristics, the pivot elements of the structural elements of the race cars have a large ratio of the axial moments of inertia of the cross sections (Fig. 1)
The design of the space frame satisfies the conditions of strength and rigidity, but at the same time, there is a possibility of loss of stability of the flat form of bending
Summary
В роботі отримана методика розв'язання крайових завдань стійкості плоскої форми згинання елементів конструкцій гоночних автомобілів у вигляді кругових арок з перерізами, що мають декілька осей симетрії. В роботі виконано інтегрування системи двох диференціальних рівнянь стійкості зазначених конструктивних елементів рами гоночного автомобіля у вигляді кругових арок або криволінійних стержнів. Calculation of the stability flat shape bending of the racing car frame structural elements in the circular arches form. The method of solving boundary value problems of stability of the flat form of bending of racing car structural elements in the form of circular arches with sections having several axes of symmetry is obtained. The problem of stability of structural elements of racing cars on the geometry corresponding to circular arches is solved by a numerical method acquiring rapid development; the method has theoretically proved exact decisions.
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