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Published in: Mechanics of Composite Materials 1/2019

30-03-2019

Resolving Controls for the Boundary Approximate Controllability of Sandwich Beams with Uncertainties the Green’s Function Approach

Authors: As. Zh. Khurshudyan, Sh. Kh. Arakelyan

Published in: Mechanics of Composite Materials | Issue 1/2019

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Abstract

The boundary approximate null-controllability of an Euler–Bernoulli sandwich beam subjected to a dynamically active distributed load is considered. The exact area and location of the distributed load are uncertain. The problem consists in controlling the vertical displacement at the beam end with the aim to damp its vibrations in a given a time. Using the recently developed Green’s function approach, the set of resolving controls is partially constructed. The results obtained are verified by numerical examples.

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Literature
1.
go back to reference J.-M. Berthelot, Composite Materials: Mechanical Behavior and Structural Analysis, Springer, Berlin (1999).CrossRef J.-M. Berthelot, Composite Materials: Mechanical Behavior and Structural Analysis, Springer, Berlin (1999).CrossRef
2.
go back to reference S. V. Sarkisyan, S. H. Jilavyan, and As. Zh. Khurshudyan, “Structural optimization of an inhomogeneous infinite layer in problems on propagation of periodic waves,” Mech. Compos. Mater., 51, No. 3, 277-284 (2015).CrossRef S. V. Sarkisyan, S. H. Jilavyan, and As. Zh. Khurshudyan, “Structural optimization of an inhomogeneous infinite layer in problems on propagation of periodic waves,” Mech. Compos. Mater., 51, No. 3, 277-284 (2015).CrossRef
3.
go back to reference G. Wrobel, M. Szymiczek, and J. Kaczmarczyk, “Influence of the structure and number of reinforcement layers on the stress state in the shells of tanks and pressure pipes,” Mech. Compos. Mater., 53, No 2, 165-178 (2017).CrossRef G. Wrobel, M. Szymiczek, and J. Kaczmarczyk, “Influence of the structure and number of reinforcement layers on the stress state in the shells of tanks and pressure pipes,” Mech. Compos. Mater., 53, No 2, 165-178 (2017).CrossRef
4.
go back to reference P. Priyanka, A. Dixit, and H. S. Mali, “High-strength hybrid textile composites with carbon, kevlar, and E-glass fibers for impact-resistant structures. A Review,” Mech. Compos. Mater., 53, No. 5, 685-704 (2017).CrossRef P. Priyanka, A. Dixit, and H. S. Mali, “High-strength hybrid textile composites with carbon, kevlar, and E-glass fibers for impact-resistant structures. A Review,” Mech. Compos. Mater., 53, No. 5, 685-704 (2017).CrossRef
5.
go back to reference S. Tekili, Y. Khadri, B. Merzoug, E. M. Daya, and A. Daouadji, “Free and forced vibration of beams strengthened by composite coats subjected to moving loads,” Mech. Compos. Mater., 52, No. 6, 789-798 (2016).CrossRef S. Tekili, Y. Khadri, B. Merzoug, E. M. Daya, and A. Daouadji, “Free and forced vibration of beams strengthened by composite coats subjected to moving loads,” Mech. Compos. Mater., 52, No. 6, 789-798 (2016).CrossRef
6.
go back to reference A. Muc, “Optimization of multilayered composite structures with randomly distributed mechanical properties,” Mech. Compos. Mater., 41, No. 6, 505-510 (2005).CrossRef A. Muc, “Optimization of multilayered composite structures with randomly distributed mechanical properties,” Mech. Compos. Mater., 41, No. 6, 505-510 (2005).CrossRef
7.
go back to reference A. Muc, “Choice of design variables in the stacking sequence optimization for laminated structures”, Mech. Comp. Mat., 52, no. 2, 211-224 (2016).CrossRef A. Muc, “Choice of design variables in the stacking sequence optimization for laminated structures”, Mech. Comp. Mat., 52, no. 2, 211-224 (2016).CrossRef
8.
go back to reference L. E. T. Ferreira, J. B. de Hanai, and V. J. Ferrari, “Optimization of a hybrid-fiber-reinforced high-strength concrete,” Mech. Compos. Mater., 52, No. 3, 295-304 (2016).CrossRef L. E. T. Ferreira, J. B. de Hanai, and V. J. Ferrari, “Optimization of a hybrid-fiber-reinforced high-strength concrete,” Mech. Compos. Mater., 52, No. 3, 295-304 (2016).CrossRef
9.
go back to reference A. Morka, P. Kedzierski, and P. Muzolf, “Optimization of the structure of a ceramic-aluminum alloy composite subjected to the impact of hard steel projectiles,” Mech. Compos. Mater., 52, No. 3, 333-346 (2016).CrossRef A. Morka, P. Kedzierski, and P. Muzolf, “Optimization of the structure of a ceramic-aluminum alloy composite subjected to the impact of hard steel projectiles,” Mech. Compos. Mater., 52, No. 3, 333-346 (2016).CrossRef
10.
go back to reference E. M. Nurullaev and A. S. Ermilov, “Optimizing the composition of elastomer composites for the fracture energy,” Mech. Compos. Mater., 52, No. 2, 225-230 (2016).CrossRef E. M. Nurullaev and A. S. Ermilov, “Optimizing the composition of elastomer composites for the fracture energy,” Mech. Compos. Mater., 52, No. 2, 225-230 (2016).CrossRef
11.
go back to reference T. A. Galichyan and As. Zh. Khurshudyan, “Parameter optimization for laminated multiferroic composites”, In “Problems of Mechanics of a Deformable Solid Body”, dedicated to the 95th anniversary of Academician of NAS of Armenia, Sergey A. Ambartsumyan. Institute of Mechanics, NAS of Armenia, 159-166 (2017). T. A. Galichyan and As. Zh. Khurshudyan, “Parameter optimization for laminated multiferroic composites”, In “Problems of Mechanics of a Deformable Solid Body”, dedicated to the 95th anniversary of Academician of NAS of Armenia, Sergey A. Ambartsumyan. Institute of Mechanics, NAS of Armenia, 159-166 (2017).
12.
go back to reference J. Li and Y. Narita, “Vibration suppression for laminated composite plates with arbitrary boundary conditions,” Mech. Compos. Mater., 49, No. 5, 519-530 (2013).CrossRef J. Li and Y. Narita, “Vibration suppression for laminated composite plates with arbitrary boundary conditions,” Mech. Compos. Mater., 49, No. 5, 519-530 (2013).CrossRef
13.
go back to reference S. Adali, J. C. Bruch Jr., I. S. Sadek, and J. M. Sloss, “Transient vibrations of cross-ply plates subject to uncertain excitations,” Appl. Math. Modeling, 19, No. 1, 56-63 (1995).CrossRef S. Adali, J. C. Bruch Jr., I. S. Sadek, and J. M. Sloss, “Transient vibrations of cross-ply plates subject to uncertain excitations,” Appl. Math. Modeling, 19, No. 1, 56-63 (1995).CrossRef
14.
go back to reference I. Elishakoff and M. Ohsaki, Optimization and Antioptimization of Structures under Uncertainty, Imperial College Press, London (2010).CrossRef I. Elishakoff and M. Ohsaki, Optimization and Antioptimization of Structures under Uncertainty, Imperial College Press, London (2010).CrossRef
15.
go back to reference I. S. Radebe and S. Adali, “Minimum weight design of beams against failure under uncertain loading by convex analysis,” J. Mech. Sci. & Tech., 27, No. 7, 2071-2078 (2013).CrossRef I. S. Radebe and S. Adali, “Minimum weight design of beams against failure under uncertain loading by convex analysis,” J. Mech. Sci. & Tech., 27, No. 7, 2071-2078 (2013).CrossRef
16.
go back to reference A. S. Avetisyan and As. Zh. Khurshudyan, Controllability of Dynamic Systems: The Green’s Function Approach, Cambridge Scholars Publishing, Cambridge (2018). A. S. Avetisyan and As. Zh. Khurshudyan, Controllability of Dynamic Systems: The Green’s Function Approach, Cambridge Scholars Publishing, Cambridge (2018).
17.
go back to reference A. D. Polyanin and V. E. Nazaikinskii, Handbook of Linear Partial Differential Equations for Engineers and Scientists. 2nd ed. Chapman & Hall/CRC Press, Boca Raton (2016).CrossRef A. D. Polyanin and V. E. Nazaikinskii, Handbook of Linear Partial Differential Equations for Engineers and Scientists. 2nd ed. Chapman & Hall/CRC Press, Boca Raton (2016).CrossRef
18.
go back to reference P. P. Teodorescu, W. W. Kecs, and A. Toma, Distribution Theory: With Applications in Engineering and Physics, WILEY-VCH Verlag, Weinheim (2003). P. P. Teodorescu, W. W. Kecs, and A. Toma, Distribution Theory: With Applications in Engineering and Physics, WILEY-VCH Verlag, Weinheim (2003).
19.
go back to reference A. S. Avetisyan and As. Zh. Khurshudyan, “Green’s function approach in approximate controllability problems,” Proc. NAS Arm. Mech., 69, No. 2, 3-20 (2016). A. S. Avetisyan and As. Zh. Khurshudyan, “Green’s function approach in approximate controllability problems,” Proc. NAS Arm. Mech., 69, No. 2, 3-20 (2016).
20.
go back to reference A. S. Avetisyan and As. Zh. Khurshudyan, “Green’s function approach in approximate controllability for nonlinear physical processes,” Mod. Phys. Let. A, 32, No. 21, 1730015 (2017).CrossRef A. S. Avetisyan and As. Zh. Khurshudyan, “Green’s function approach in approximate controllability for nonlinear physical processes,” Mod. Phys. Let. A, 32, No. 21, 1730015 (2017).CrossRef
21.
go back to reference As. Zh. Khurshudyan, “Heuristic determination of resolving controls for exact and approximate controllability of nonlinear dynamic systems,” Math. Probl. Engineer., Article ID 9496371, 16 p. As. Zh. Khurshudyan, “Heuristic determination of resolving controls for exact and approximate controllability of nonlinear dynamic systems,” Math. Probl. Engineer., Article ID 9496371, 16 p.
Metadata
Title
Resolving Controls for the Boundary Approximate Controllability of Sandwich Beams with Uncertainties the Green’s Function Approach
Authors
As. Zh. Khurshudyan
Sh. Kh. Arakelyan
Publication date
30-03-2019
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 1/2019
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-019-09794-0

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