Methods for Solving Non-Linear Tasks for Calculating Construction Structures
نویسندگان
چکیده
The present article contains a brief description of several methods for solving non-linear tasks used when calculating the strength, stability and oscillation of construction structures. The investigated structures are: beams, thin-wall reinforced shells, including shells with fractures in the middle of the surface. Calculations are carried out with consideration of physical and geometrical non-linearity using the variational Ritz’s method. As the Ritz’s method has certain drawbacks, the gradient method is proposed to make up for them. Calculation is presented for reinforced-concrete beams in the non-linear elastic variant with the use of diagram according to the Euro standard. The non-linear theory for structures calculations was developed as a purely theoretical science and it only obtained practical relevance when large-powered computers became available. Complexity of initial equations often prevents from achieving analytical solutions in the closed species, not even for the simplest tasks; therefore, obtaining usable results is closely related to the use of numerical methods; one of them is the method of finite elements (FEM). Non-linear tasks are also related to calculations of seismic influences, when, in order to decrease the buildings’ oscillations amplitude, non-linear elastic links are installed.
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تاریخ انتشار 2013