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Journal of Sound and Vibration

Volumn 252, Issue 5, 2002, Pages 962-966

Oscillations of non-linear system with restoring force close to sign(X)

(2) Awrejcewicz, J a Andrianov, I V b

a LODZ UNIVERSITY OF TECHNOLOGY (Poland)

b PRYDNIPROVSKA STATE ACADEMY OF CIVIL ENGINEERING AND ARCHITECTURE (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FOURIER TRANSFORMS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; PROBLEM SOLVING; VIBRATIONS (MECHANICAL);

ASYMPTOTICAL SOLUTION; ATEB FUNCTIONS; BETA FUNCTIONS; VIBRO-IMPACT SYSTEM;

OSCILLATIONS;

EID: 0037118439 PISSN: 0022460X EISSN: None Source Type: Journal
DOI: 10.1006/jsvi.2001.3666 Document Type: Editorial

Times cited : (29)

References (9)

1
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- V. I. Babitsky 1998 Theory of Vibro-Impact Systems. Berlin: Springer-Verlag.
- (1998) Theory of Vibro-Impact Systems
- Babitsky, V.I.¹

2
- 0002123505
- The Ateb (h)-functions and their properties
- R. M. Rosenberg 1963 Quarterly of Applied Mathematics 21, 37-47. The Ateb (h)-functions and their properties.
- (1963) Quarterly of Applied Mathematics , vol.21 , pp. 37-47
- Rosenberg, R.M.¹

3
- 0000901190
- Non-perturbative approach to non-linear problems
- C. M. Bender, K. A. Milton, S. S. Pinsky and L. M. Simmonds 1989 Journal of Mathematical Physics 30, 1447-1455. Non-perturbative approach to non-linear problems.
- (1989) Journal of Mathematical Physics , vol.30 , pp. 1447-1455
- Bender, C.M.¹ Milton, K.A.² Pinsky, S.S.³ Simmonds, L.M.⁴

4
- 0034275341
- Methods of small and large δ in the non-linear dynamics-a comparative analysis
- I. V. Andrianov and J. Awrejcewicz 2000 Nonlinear Dynamics 23, 57-66. Methods of small and large δ in the non-linear dynamics-a comparative analysis.
- (2000) Nonlinear Dynamics , vol.23 , pp. 57-66
- Andrianov, I.V.¹ Awrejcewicz, J.²

5
- 0003460117
- Berlin, Heidelberg: Springer-Verlag
- J. Awrejcewicz, I. V. Andrianov and L. I. Manevitch 1998 Asymptotics Approaches in Nonlinear Dynamics: New Trends and Applications. Berlin, Heidelberg: Springer-Verlag.
- (1998) Asymptotics Approaches in Nonlinear Dynamics: New Trends and Applications
- Awrejcewicz, J.¹ Andrianov, I.V.² Manevitch, L.I.³

6
- 0028766143
- Exact solution to the antisymmetric, constant force oscillation equation
- T. Lipscomb and R. E. Mickens 1994 Journal of Sound and Vibration 169, 138-140. Exact solution to the antisymmetric, constant force oscillation equation.
- (1994) Journal of Sound and Vibration , vol.169 , pp. 138-140
- Lipscomb, T.¹ Mickens, R.E.²

7
- 0042780846
- On the exact periodic solution for ẍ + sign(x) = 0
- P. K. Govindan Potti, M. S. Sarma and B. Nageswara Rao 1999 Journal of Sound and Vibration 220, 378-381. On the exact periodic solution for ẍ + sign(x) = 0.
- (1999) Journal of Sound and Vibration , vol.220 , pp. 378-381
- Govindan Potti, P.K.¹ Sarma, M.S.² Nageswara Rao, B.³

8
- 0000986690
- An explicit form general solution for oscillators with a non-smooth restoring force ẍ + sign(x) f(x) = 0
- V. N. Philipchuk 1999 Journal of Sound and Vibration 226, 795-798. An explicit form general solution for oscillators with a non-smooth restoring force ẍ + sign(x) f(x) = 0.
- (1999) Journal of Sound and Vibration , vol.226 , pp. 795-798
- Philipchuk, V.N.¹

9
- 0000712633
- Nonperturbative square-well approximation to a quantum theory
- S. Boettcher and C. M. Bender 1990 Journal of Mathematical Physics 31, 2579-2585. Nonperturbative square-well approximation to a quantum theory.
- (1990) Journal of Mathematical Physics , vol.31 , pp. 2579-2585
- Boettcher, S.¹ Bender, C.M.²

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