Expansion of Harmonic Wave ln the Wedge with Random Vertical Angle
Keywords:
Wave, Angle, Harmonic Wave, cylinder
Abstract
The article covers the expansion of harmonic waves in the deformable wedge. A spectral problem is formulated, which is solved numerically. The article reports the development of the method for solving the problem, the action of elastic wave on cylinder with a radial crack by limiting case of wedge with angle of 360° on bodies (shell) located in infinite linear-elastic medium, as well as its algorithms. Closed system of differential equations, as well as the corresponding initial and boundary conditions have been drawn. Obtained analytical results have theoretical and applied significance.
References
1. Guz A.N., Kubenko V.D., Cherevko M.A. Diffraction of elastic waves. Kiev: Naukova Dumka, 1978, p. 308.
2. Guz A.N., Golovchan V.T. Diffraction of elastic waves in multiply connected bodies. Kiev: Naukova Dumka, 1972, p. 254.
3. I.I. Safarov, Z.F. Djumaev, Z.I. Boltaev. Harmonic waves in infinite cylinder with radial crack considering the damping capacity of the material. Problems of mechanics. 2011, p. 20-25.
4. I.I. Safarov, M.Kh. Teshaev, Z.I. Boltaev. Mathematical modeling of wave process in mechanical waveguide considering internal friction. Germany. LAP. 2013, p.243.
5. Mamatkulov Sh. Oscillations and waves in elastic and soil media. Tashkent: Fan, 1987, p.104.
6. Mirsaidov M.M., Troyanovskiy I.E. Dynamics of inhomogeneous systems considering internal dissipation and wave entrainment of energy. Tashkent: Fan, 1990, p. 207
7. Muborakov Ya.N., Safarov I.I., Sobirov M.I., Atoev A.B. About the main methods of studying the stress-strain state of underground cylindrical structures when interacting with elastic waves. Collection of papers “Strength of engineering structures under seismic and impulsive influences.” Tashkent: Fan. 1990, p. 67-83.
8. Rashidov T.R. Dynamic theory of seismic resistance of complex systems of underground structures. Tashkent: Fan, 1973, p. 180-182
9. Gaybullaev Z.Kh., Boltaev M.B., Kenjaeva M. About natural vibrations of body in elastic medium // Modern problems in machine mechanics. Collection of reports of republic conference. Tashkent, 2004 p. 251-252.
10. Newmark N.M., A. Method of Computation for Structural Dynamics. - J. Eng. Mech. Div. Proc. ASCE, 1959, vol. 85, no.7, p. 67 - 94.
11. Terzagni K, Theoretical Soil Mechanics, Wily, New Yok, 1943, p. 194.
12. Me Nelty Y.W. An Experimental study of Arching in Sand, US Waterways Experiment Station, Rep. 1-674.
13. Gaybullaev, Z.Kh., Juraev, T.Kh., Jumaev, Z. “On expansion of elastic waves near the edge of a strip of variable thickness.” Republican scientific conference on mechanics dedicated to the 90th anniversary of academician M.T. Urazbayev. Tashkent, 1996, p. 231-232.
14. Razzokov Sh.I., Temirov S.T., Jumaev Z.F. Wave expansion into a layer located in infinite elastic medium. // 2500th anniversary of Bukhara city. Bukhara, 1997, p. 182-183.
15. Safarov I.I., Yadgarov U., Juraev T.O., Jumaev Z.F. On steady vibrations of three-layer cylindrical bodies. // Problems of mechanics, Vol. 1. Tashkent, 2000, p. 31-34
16. Safarov I.I., Razzokov Sh.I., Jumaev Z.F. Oscillations of elastic cylindrical body under the action of internal pressure. DAN 2000, Vol. 11, p. 25-27.
17. Safarov I.I., Avliyokulov N.N., Jumaev Z.F. “Oscillations of body mounted on viscoelastic supports.” Dedicated to the 60th anniversary of Z.Sh. Jumaev and T.Kh.Sharipov. Bukhara State University. Bukhara, 2001, p. 434-437.
18. Safarov I.I., Aslonov B., Jumaev Z.F. “On natural vibrations of dissipative inhomogeneous viscoelastic mechanical systems”. Modern problems of algorithmization and programming. Tashkent, 2001, p. 127-128.
19. Love A. Mathematical theory of elasticity. Moscow: Gostekhizdat, 1935, p. 674.
2. Guz A.N., Golovchan V.T. Diffraction of elastic waves in multiply connected bodies. Kiev: Naukova Dumka, 1972, p. 254.
3. I.I. Safarov, Z.F. Djumaev, Z.I. Boltaev. Harmonic waves in infinite cylinder with radial crack considering the damping capacity of the material. Problems of mechanics. 2011, p. 20-25.
4. I.I. Safarov, M.Kh. Teshaev, Z.I. Boltaev. Mathematical modeling of wave process in mechanical waveguide considering internal friction. Germany. LAP. 2013, p.243.
5. Mamatkulov Sh. Oscillations and waves in elastic and soil media. Tashkent: Fan, 1987, p.104.
6. Mirsaidov M.M., Troyanovskiy I.E. Dynamics of inhomogeneous systems considering internal dissipation and wave entrainment of energy. Tashkent: Fan, 1990, p. 207
7. Muborakov Ya.N., Safarov I.I., Sobirov M.I., Atoev A.B. About the main methods of studying the stress-strain state of underground cylindrical structures when interacting with elastic waves. Collection of papers “Strength of engineering structures under seismic and impulsive influences.” Tashkent: Fan. 1990, p. 67-83.
8. Rashidov T.R. Dynamic theory of seismic resistance of complex systems of underground structures. Tashkent: Fan, 1973, p. 180-182
9. Gaybullaev Z.Kh., Boltaev M.B., Kenjaeva M. About natural vibrations of body in elastic medium // Modern problems in machine mechanics. Collection of reports of republic conference. Tashkent, 2004 p. 251-252.
10. Newmark N.M., A. Method of Computation for Structural Dynamics. - J. Eng. Mech. Div. Proc. ASCE, 1959, vol. 85, no.7, p. 67 - 94.
11. Terzagni K, Theoretical Soil Mechanics, Wily, New Yok, 1943, p. 194.
12. Me Nelty Y.W. An Experimental study of Arching in Sand, US Waterways Experiment Station, Rep. 1-674.
13. Gaybullaev, Z.Kh., Juraev, T.Kh., Jumaev, Z. “On expansion of elastic waves near the edge of a strip of variable thickness.” Republican scientific conference on mechanics dedicated to the 90th anniversary of academician M.T. Urazbayev. Tashkent, 1996, p. 231-232.
14. Razzokov Sh.I., Temirov S.T., Jumaev Z.F. Wave expansion into a layer located in infinite elastic medium. // 2500th anniversary of Bukhara city. Bukhara, 1997, p. 182-183.
15. Safarov I.I., Yadgarov U., Juraev T.O., Jumaev Z.F. On steady vibrations of three-layer cylindrical bodies. // Problems of mechanics, Vol. 1. Tashkent, 2000, p. 31-34
16. Safarov I.I., Razzokov Sh.I., Jumaev Z.F. Oscillations of elastic cylindrical body under the action of internal pressure. DAN 2000, Vol. 11, p. 25-27.
17. Safarov I.I., Avliyokulov N.N., Jumaev Z.F. “Oscillations of body mounted on viscoelastic supports.” Dedicated to the 60th anniversary of Z.Sh. Jumaev and T.Kh.Sharipov. Bukhara State University. Bukhara, 2001, p. 434-437.
18. Safarov I.I., Aslonov B., Jumaev Z.F. “On natural vibrations of dissipative inhomogeneous viscoelastic mechanical systems”. Modern problems of algorithmization and programming. Tashkent, 2001, p. 127-128.
19. Love A. Mathematical theory of elasticity. Moscow: Gostekhizdat, 1935, p. 674.
Published
2021-11-03
How to Cite
Fatilloyevich, D. Z., & Zokirovich, F. S. (2021). Expansion of Harmonic Wave ln the Wedge with Random Vertical Angle. International Journal of Human Computing Studies, 3(8), 71-77. https://doi.org/10.31149/ijhcs.v3i8.2341
Section
Articles
3.png)
