Two inverse non-stationary problems of axially symmetric deformation of a finite-length elastic cylindrical shell
نویسندگان
چکیده
Among the many problems of solid mechanics, there is a whole class that are related to inverse problems. In turn, among problems, ill-posed. Obtaining an exact analytical solution such certain mathematical difficulties and requires using special methods. Goal. The goal study obtain solutions for identification non-stationary load control vibrations cylindrical shell with asymmetric boundary conditions. Methodology. this investigation, refined theory medium-thickness shells was used. Fourier series expansion, integral equations Laplace transform were used direct problem. Tikhonov’s regularization method solve Results. As result two mechanics obtained. first task identify fixed moving concentrated axisymmetric force acting on shell, based displacement values at any point shell; forces. second by introducing auxiliary force. Numerical results obtained demonstrate fulfillment criterion as action given Originality. Analytical medium thickness support conditions Practical value. technique received allows effective unknown load. It’s important rational design reliable structures. Its use also makes possible create theoretical basis deflected mode parameters structural elements
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ژورنال
عنوان ژورنال: Avtomobil?nyj transport
سال: 2022
ISSN: ['2219-8342', '2309-981X']
DOI: https://doi.org/10.30977/at.2219-8342.2022.51.0.08