ABOUT DEVELOPMENT OF COMPUTATIONAL SCHEMES OF GROUP TARGETED KINEMATIC DEVICES FOR SOME ELASTIC SYSTEMS
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Abstract
For some elastic systems with a finite number of degrees of freedom of mass, in which the directions of mass movement are parallel, methods have been developed for creating additional kinematic devices, the introduction of each of which targetly reduces the value of only one natural frequency to a given value, while not changing any of the other natural frequencies and not one of the forms of natural oscillations. If it is necessary to precisely reduce the values of several natural frequencies, then this requirement can be realized by creating an appropriate number of separate targeted kinematic devices. The computational scheme of each of the individual targeted devices should include racks installed at the mass application nodes and directed along the trajectory of their movement. In some cases, separate targeted constraints can be independently installed in the source system. In most cases, on the basis of individual targeted kinematic devices, a computational scheme of a single group targeted device is formed, which reduces all the intended frequencies to the set values without changing any of the other natural frequencies and not one of the forms of natural oscillations. The distinctive paper is devoted to the method for forming a matrix of coefficients of additional inertial forces, which corresponds to a group targeted kinematic device. An algorithm for the creation of group targeted kinematic devices is proposed. Algorithm is tested with the use of “SCAD” and “Lira” software products.
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Akimov P.A, Lyahovich L.S. Pricel'noe regulirovanie spektra chastot sobstvennyh kolebanij uprugih plastin s konechnym chislom stepenej svobody mass putem vvedenija dopolnitel'nyh obobshhennyh svjazej i obobshhennyh kinematicheskih ustrojstv [Precision control for eigen-frequency of elastic plates with finite number of mass degrees of freedom by using additional generalized connections and kinematic devices]. // Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. Journal of Construction and Architecture, 2021, Vol. 23, No. 4, pp. 57-67 (In Russian).
Lyahovich L.S. Osobye svojstva optimal'nyh sistem i osnovnye napravlenija ih realizacii v metodah rascheta sooruzhenij [Special properties of optimal systems and the main directions of their implementation in the methods of structural analysis]. Tomsk, TGASU, 2009. – 372 pages (In Russian).
Lyakhovich L.S., Akimov P.A. About Development of Computational Schemes of Some Additional Constraints for Elastic Systems. Part 1: Theoretical Foundations [O formirovanii raschetnyh shem nekotoryh dopolnitel'nyh svjazej dlja uprugih sistem. Chast' 1: Teoreticheskie osnovy podhoda]. // Promyshlennoe i Grazhdanskoe Stroitelstvo, 2022, No. 9, pp. 4-10 (in Russian).
Lyakhovich L.S., Akimov P.A., Mescheulov N.V. About Development of Computational Schemes of Some Additional Constraints for Elastic Systems. Part 2: Samples of Analysis [O formirovanii raschetnyh shem nekotoryh dopolnitel'nyh svjazej dlja uprugih sistem. Chast' 2: Primery raschetov]. // Promyshlennoe i Grazhdanskoe Stroitelstvo, 2022, No. 9, pp. 4-10 (in Russian).
Lyakhovich L.S., Akimov P.A., Galyautdinov Z.R., Plyaskin A.S. About Development of Computational Schemes of Generalized Kinematic Devices, Which Precisely Regulate the Frequency Spectrum of Natural Oscillations of Elastic Systems with a Finite Number of Degrees of Mass Freedom, the Directions of Movement of Which are Parallel, but do not Lie in the Same Plane. Part 1: Theoretical Foundations [O sozdanii raschetnyh shem obobshhennyh kinematicheskih ustrojstv, pricel'no regulirujushhih spektr chastot sobstvennyh kolebanij uprugih sistem s konechnym chislom stepenej svobody mass, u kotoryh napravlenija dvizhenija parallel'ny, no ne lezhat v odnoj ploskosti. Chast' 1. Teoreticheskie osnovy podhoda]. Fundamental exploratory and applied research of the Russian Academy of Architecture and Construction Sciences (RAASN) on scientific support for the development of architecture, urban planning, and the construction industry of the Russian Federation in 2022–2023: Scientific works of the RAACS: In 2 volumes: Volume 2. Moscow: RAACS, 2024, pp. 265-274 (in Russian).
Lyakhovich L.S., Akimov P.A., Galyautdinov Z.R., Plyaskin A.S. About Development of Computational Schemes of Generalized Kinematic Devices, Which Precisely Regulate the Frequency Spectrum of Natural Oscillations of Elastic Systems with a Finite Number of Degrees of Mass Freedom, the Directions of Movement of Which are Parallel, but do not Lie in the Same Plane. Part 2: Samples of Analysis [O sozdanii raschetnyh shem obobshhennyh kinematicheskih ustrojstv, pricel'no regulirujushhih spektr chastot sobstvennyh kolebanij uprugih sistem s konechnym chislom stepenej svobody mass, u kotoryh napravlenija dvizhenija parallel'ny, no ne lezhat v odnoj ploskosti. Chast' 2. Primery raschetov]. Fundamental exploratory and applied research of the Russian Academy of Architecture and Construction Sciences (RAASN) on scientific support for the development of architecture, urban planning, and the construction industry of the Russian Federation in 2022–2023: Scientific works of the RAACS: In 2 volumes: Volume 2. Moscow: RAACS, 2024, pp. 275-285 (in Russian).
Lyahovich L.S., Maletkin O.Ju. O pricel'nom regulirovanii sobstvennyh chastot uprugih system [On targeted control of natural frequencies of elastic systems]. // Izvestija vuzov. Stroitel'stvo i arhitektura, 1990, No. 1, pp. 113-117 (In Russian).
Faizullin I.E., Lyakhovich L.S., Akimov P.A., Galautdinov Z.R., Plyaskin A.S. Development of computational schemes of group targeted connections for some elastic systems [Formirovanie raschetnyh shem gruppovyh pricel'nyh svjazej dlja nekotoryh uprugih system]. // Vestnik MGSU, 2025, Volume 20, Issue 1, pp. 60-72 (in Russian).
Do B., Ohsaki M. A random search for discrete robust design optimization of linear-elastic steel frames under interval parametric uncertainty. // Computers & Structures, 2021, Volume 249, 106506.
Lyakhovich L.S., Akimov P.A. Aimed control of the frequency spectrum of eigenvibrations of elastic plates with a finite number of degrees of freedom of masses by superimposing additional constraints. // International Journal for Computational Civil and Structural Engineering, 2021, Volume 17, Issue 2, pp. 76-82.
Lyakhovich L.S., Akimov P.A. Aimed control of the frequency spectrum of eigenvibrations of elastic plates with a finite number of degrees of freedom by introducing additional generalized kinematic devices. // International Journal for Computational Civil and Structural Engineering, 2021, Volume 17, Issue 3, pp. 14-20.
Lyakhovich L.S., Akimov P.A. Formation of Computational Schemes of Additional Targeted Constraints That Regulate The Frequency Spectrum of Natural Oscillations of Elastic Systems With a Finite Number of Degrees of Mass Freedom, the Directions of Movement of Which are Parallel, But Do Not Lie in the Same Plane. Part 1: Theoretical Foundations. // International Journal for Computational Civil and Structural Engineering, 2022, Volume 18, Issue 2, pp. 183-193.
Lyakhovich L.S., Akimov P.A. Formation of Computational Schemes of Additional Targeted Constraints That Regulate The Frequency Spectrum of Natural Oscillations of Elastic Systems With a Finite Number of Degrees of Mass Freedom, the Directions of Movement of Which are Parallel, But Do Not Lie in the Same Plane. Part 2: The First Sample of Analysis. // International Journal for Computational Civil and Structural Engineering, 2022, Volume 18, Issue 3, pp. 137-146.
Lyakhovich L.S., Akimov P.A., Galyautdinov Z.R., Plyaskin A.S. Development of computational schemes of generalized kinematic devices that precisely regulate the natural frequency spectrum of elastic systems with a finite number of degrees of mass freedom, in which the directions of motion are parallel, but do not lie in the same plane. Part 1: Theoretical foundations. // International Journal for Computational Civil and Structural Engineering, 2023, Volume 19, Issue 3, pp. 173-183.
Lyakhovich L.S., Akimov P.A., Galyautdinov Z.R., Plyaskin A.S. Development of computational schemes of generalized kinematic devices that precisely regulate the natural frequency spectrum of elastic systems with a finite number of degrees of mass freedom, in which the directions of motion are parallel, but do not lie in the same plane. Part 2. Samples of analysis. // International Journal for Computational Civil and Structural Engineering, 2023, Volume 19, Issue 4, pp. 155-165.
Mittal G., Gibi A.K. A modified steepest descent method for solving non-smooth inverse problems. // Journal for Computational and Applied Mathematics, 2023, Volume 424, 114997.
Mittal G., Gibi A.K. Convergence analysis of an optimally accurate frozen multi-level projected steepest descent iteration for solving inverse problems. // Journal of Complexity, 2023, Volume 75, 101711.
Mozgaleva M.L., Akimov P.A. Deep Beam Analysis with the Use of Discrete-Continual Finite Element Method in the Presence of a Vertical Crack. // International Journal for Computational Civil and Structural Engineering, Volume 21, Issue 2, 2025, pp. 177-186.
Oztas G.Z., Erdem S. Random search with adaptive boundaries algorithm for obtaining better initial solutions. // Advances in Engineering Software, 2022, Volume 169, 103141.
Ren Q. Seismic acoustic full waveform inversion based on the steepest descent method and simple linear regression analysis. // Journal of Applied Geophysics, 2022, Volume 203, 104686.
Wosniack M.E., Raposo E.P., Viswanathan G.M., da Luz M.G.E. A parallel algorithm for random searches. // Computer Physics Communications, 2015, Volume 196, pp. 390-397.