Calculation of stress concentrations in orthotropic cylindrical shells with holes on the basis of a variational method

Abstract

<p>A variational numerical-analytical method (called the RVR method) is suggested for calculating the strength and stiffness of statically loaded non-thin orthotropic shell structures weakened by holes (stress concentrators) of arbitrary shapes and sizes. The theoretically substantiated new method is based on the Reissner variational principle and the method of I. N. Vekua (the method of decomposing the desired functions into the Fourier series of the orthogonal Legendre polynomials with respect to the coordinate along the constant shell thickness). In this case, the use in the proposed RVR method of the general equations of three-dimensional problems of the linear theory of elasticity makes it possible to determine the total stress-strained state of an elastic shell (in particular, a plate) with holes. At the same time, using the R-functions, at the analytical level, the geometric information of boundary-value problems for multiply connected domains is taken into account and solutions structures are constructed that exactly satisfy different variants of boundary conditions. The use of a software-implemented algorithm for the two-sided integral assessment of the accuracy of approximate solutions in the study of mixed variational problems helps automate the search for such a number of approximations in which the process of convergence of solutions becomes stable.</p><p>For orthotropic and isotropic materials, the possibilities of the RVR method are shown in numerical examples of solving the corresponding boundary value problems of calculating the stress concentration in a cylindrical shell with an elliptical or rectangular hole under axial load. The results of the performed tests are discussed, and the features characteristic of the new method prove that it can be effectively used in the design of critical lamellar and shell elements of structures in various fields of modern technology.</p>

Authors and Affiliations

Valentin Salo, Valeriia Rakivnenko, Vladimir Nechiporenko, Aleksandr Kirichenko, Serhii Horielyshev, Dmytro Onopreichuk, Volodymyr Stefanov

Keywords

Related Articles

Improving efficiency of machining the geometrically complex shaped surfaces by milling with a fixed shift of the cutting edge

<p>In order to improve efficiency of machining by milling geometrically complex shaped surfaces, mainly the methods related to improvement of properties of the tool material, change of composition and properties of the t...

Theoretical rationale and identification of heat and mass transfer processes in vibration dryers with IR-energy supply

<p>The paper contains theoretical substantiation of the processes of radiation-convective heat and mass transfer between all the defining objects inside the vibration dryer with IR energy supply. The presented equations,...

Development of a technology for interactive design of garments using add-ons of a virtual mannequin

<p>The problem of development of the technology of interactive garment designing by engineering methods was studied, which makes it possible to use the passive mode for automated preparation of design documentation. The...

Identification of energy efficiency of ore grinding and the liner wear by a three­phase motion of balls in a mill

<p>We have analytically derived an equation that relates the technological parameters of a ball mill, grinding material, to the parameters of a rod primary converter of energy efficiency of ore grinding. By using a metho...

Construction of methods to improve operational efficiency of an intermittent heat supply system by determining conditions to employ a standby heating mode

<p class="a">In the course of this study we defined conditions for the rational utilization of intermittent heat supply for public buildings of various types: administrative and educational institutions, and other public...

Download PDF file
  • EP ID EP666435
  • DOI 10.15587/1729-4061.2019.169631
  • Views 78
  • Downloads 0

How To Cite

Valentin Salo, Valeriia Rakivnenko, Vladimir Nechiporenko, Aleksandr Kirichenko, Serhii Horielyshev, Dmytro Onopreichuk, Volodymyr Stefanov (2019). Calculation of stress concentrations in orthotropic cylindrical shells with holes on the basis of a variational method. Восточно-Европейский журнал передовых технологий, 3(7), 11-17. https://europub.co.uk/articles/-A-666435