DEVELOPMENT OF AN OPTIMAL METHOD FOR CALCULATING DISPLACEMENTS IN STATICALLY DEFINABLE SYSTEMS USING THE EXAMPLE OF A FRAME
Keywords:
reliability, strength, rigidity, stability, linear and angular displacements, force effects, bending moments, single graphs, cargo graphs, Vereshchagin's rule, Simpson's formula, trapezoid multiplication formulaAbstract
The article discusses methods for calculating displacements in statically definable systems using the example of a design scheme of a flat frame. The considered methods are based on the application of a special case of the Maxwell-Mohr integral formula, and assume multiplication of unit and load diagrams of bending moments arising in the system under the action of applied loads. The results of the multiplication of plots according to three rules are compared: Vereshchagin, Simpson and trapezoid multiplication. At the same time, Vereshchagin's rule was implemented using standard forms of plots, the principle of superposition and addition (subtraction) of standard plots. The results of multiplication were compared in different ways according to the criterion of accuracy and reliability, as well as the number of operations performed. Based on the results of the comparison, recommendations are formulated on the choice of optimal methods for calculating displacements in statically definable.
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