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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Formulas for calculating the deflection and displacement of a planar truss support with short studs in a latticeстатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из перечня ВАК- Автор: Kirsanov M.N.
- Журнал: Строительство уникальных зданий и сооружений
- Том: 104
- Год издания: 2022
- Номер статьи: 10403
- DOI: 10.4123/CUBS.104.03
- Аннотация: The object of research is a planar statically determinate regular diagonal truss with shortenedracks in the lattice. The task is to investigate the structure for kinematic invariability and derive a formula for the dependence of the deflection on the number of panels. Method. The forces in the truss are determined in symbolic form by the method of cutting nodes in the Maple computer mathematics system. The deflection and displacement of the movable support are calculated using the MaxwellMohr formula. The generalization of a series of solutions for trusses with a different number of panels is carried out by induction. For sequences of coefficients in the desired formula, recursive equations arecompiled and solved. Results. It is shown that for a certain number of panels, the determinant of thematrix of the system of linear equations for the equilibrium of nodes degenerates, which corresponds to the kinematic variability. A corresponding picture of the distribution of the virtual velocities of nodes is constructed. For admissible values of the number of panels, formulas for the deflection and displacement of a truss movable support with an arbitrary number of panels are obtained.
- Добавил в систему: Кирсанов Михаил Николаевич