DEVELOPMENT OF A METHOD FOR DETERMINING THE RESONANT FREQUENCIES OF THIN-WALLED CYLINDRICAL STRUCTURES ON-BOARD ELECTRONIC EQUIPMENT 

Sergei I. Frolov, Candidate of technical sciences, associate professor of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: ra4foc@yandex.ru
Evgeniya A. Danilova, Candidate of technical sciences, associate professor of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: siori@list.ru
Georgiy V. Tan'kov, Candidate of technical sciences, associate professor of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: g.tankov43@mail.ru
Igor' I. Kochegarov, Candidate of technical sciences, associate professor, associate professor of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: kipra@pnzgu.ru
Alexey V. Grigoriev, Candidate of technical sciences, associate professor, associate professor of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: a_grigorev@mail.ru 

629.1 

10.21685/2307-4205-2021-1-10 

Background. An important task in the development of airborne radioelectronic facilities is the assessment of the resonant frequencies of the structure. The cylindrical shape of the structure is used less often than the rectangular one, moreover, in some cases it has greater rigidity. In addition, there are no engineering techniques in the literature for determining the natural vibration frequencies (EF) of cylindrical shells. The aim of this work is to develop a methodology for solving the problem of finding the minimum SCF of a freely supported circular cylindrical shell and an analytical expression for the frequency parameters of a cylinder with restrained ends is obtained.
Materials and methods. The paper uses the provisions of the theory of mechanical vibrations to obtain analytical expressions for the natural frequency of vibrations of a cylindrical shell. For the numerical solution, finite element methods and the ANSYS software package are used.
Results. The results of calculations of natural frequencies of vibrations of cylindrical thin-walled shells with restrained edges are proposed, which make it possible to reasonably choose the dimensions of the structure from the point of view of protection against resonance. Numerical modeling has been carried out, which has confirmed the adequacy of the proposed mathematical model.
Conclusion. The results of the work in the form of recommendations for increasing the stiffness of the structures of cylindrical structures of onboard radioelectronic means will make it possible to create more reliable structures by improving the resistance to vibration. 

cylindrical shell, natural vibration frequency, mathematical modeling, vibration, resonance, protection