Russian Federation
Russian Federation
UDC 519.65
The problem is solved in analytical form using the method of universal fast expansions. The obtained approximate analytical solution is compared with the test one, the error in determining the plate deflection is investigated. It is found that when using a sixth-order boundary function and only one term in the cosines and one term in the sines in the Fourier series in universal fast expansions, the accuracy of the obtained solution significantly exceeds the accuracy of specifying the input parameters of the problem determined by the concept of a continuous medium. In this case, the approximate analytical solution can formally be considered exact.
biharmonic equation, deflection, torsional and bending moments, shear forces, stress tensor components, universal fast expansions, high accuracy
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