Analytical calculation of the deflection of a spatial hinge-rod frame with an arbitrary number of panelsстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 июля 2021 г.
Аннотация:Statement of the problem. The task is to obtain in symbolic form the dependence of the deflec-tion of the proposed scheme of a statically definable spatial truss of a regular type on the numberof panels under various loads, including the load from the truss plane. A truss has two independentparameters that define its proportions.Results. For several types of loading according to the Maxwell - Mohr formula, analytical dependences of the deflections of the structure on the number of panels, load, and dimensions are derived. When generalizing a series of partial solutions with a given number of panels to an arbitrarynumber of panels, together with operators of the Maple computer mathematics system, the induction method is used. Asymptotic approximations of solutions are obtained.Conclusions. The proposed model of a spatial frame with two independent numbers of panels thatdefine the proportions of the structure allows an analytical solution of the problem of deflectionunder different types of loading. The derived formulas can be used as test formulas for evaluating approximate numerical solutions and for optimization problems.