Numerical solution for rotational stiffness of RHS tubular joints

Garifullin, Marsel; Vatin, Nikolai Ivanovich; Jokinen, Timo; Heinisuo, Markku

doi:10.1201/9781315393827-16

Cited by 5 publications

(2 citation statements)

References 6 publications

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“…The work of Soviet and foreign scientists was aimed at creating methods for calculating such structures. However, these methods do not provide for modern design tasks based on a comprehensive coverage of material resources by varying their composition and the shape of the structure itself [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Optimal Designing of the Rod Structure

Klyuev¹,

Klyuev²,

Petrov³

et al. 2020

International Journal of Engineering Research and Technology

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Calculus of variations is a powerful tool for research in the field of mechanics. Variation principles, on the one hand, have a deep theoretical significance, revealing the energy basis of the theory and establishing a connection between different approaches to solving problems. On the other hand, they are of great practical significance, because if there are expressions for functional, they allow to find differential equations and natural (not caused by external circumstances) boundary conditions in cases where it is difficult to do so directly. Moreover, direct methods allow getting a solution to the variation problem, passing the compilation and solution of differential equations. Based on the variation principle of structural synthesis, the design problem for a rod spatial structure is solved. The example of designing a four-rod truss is considered.

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Section: Introductionmentioning

confidence: 99%

Optimal Designing of the Rod Structure

Klyuev¹,

Klyuev²,

Petrov³

et al. 2020

International Journal of Engineering Research and Technology

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“…Influence of variety of geometric characteristic such as stiffness on strength of joints made of thin-walled profiles was described in studies [15][16].…”

Section: Introductionmentioning

confidence: 99%

Finite elements apparatus in thin-walled rods dynamics problems

et al. 2018

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The calculation of thin-walled rods is extremely relevant problem of structural mechanics and not only from the scientific standpoint, but also due to the widespread use of so-called lightweight thin-walled steel structures for construction engineering sector. Regardless of a sufficiently large number of studies connected with the statics of thin-walled rods, the dynamics of such systems have not been thoroughly studied yet. Based on one of the forward-looking theories of calculation i.e. the semi-shear theory by Slicker, the paper provides a technique for solving the dynamics problems of thin-walled rods. The stiffness and mass matrices of the finite element system are obtained for linear approximation of the form functions, and the natural vibration frequencies of the rods are calculated. The obtained solution is accomplished by the extrapolation method of estimating the accuracy of numerical methods for solving mathematical problems.

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