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Igor V. Andrianov
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Proceedings Papers

Analytical Investigation of Strongly Nonlinear Dynamical Systems

Igor V. Andrianov, Jan Awrejcewicz
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 1829-1833, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8001
https://doi.org/10.1115/DETC99/VIB-8001
View Paper titled, Analytical Investigation of Strongly Nonlinear Dynamical Systems
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Topics: Nonlinear dynamical systems, Oscillations, Boundary-value problems, Construction, Partial differential equations, Pendulums, Polynomials
Journal Articles

Asymptotic Homogenization of Composite Materials and Structures

Alexander L. Kalamkarov, Igor V. Andrianov, Vladyslav V. Danishevs’kyy
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. May 2009, 62(3): 030802.
https://doi.org/10.1115/1.3090830
Published Online: March 31, 2009
View Article titled, Asymptotic Homogenization of Composite Materials and Structures
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Topics: Composite materials, Thermal conductivity
Proceedings Papers

Matching Solutions Based on Small and Large δ Approaches

Igor V. Andrianov, Jan Awrejcewicz
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 2391-2396, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48591
https://doi.org/10.1115/DETC2003/VIB-48591
View Paper titled, Matching Solutions Based on Small and Large δ Approaches
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Topics: Approximation
Journal Articles

Homogenization of Quasi-Periodic Structures

Igor V. Andrianov, Jan Awrejcewicz, Alexander A. Diskovsky
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. August 2006, 128(4): 532–534.
https://doi.org/10.1115/1.2202158
Published Online: February 21, 2006
View Article titled, Homogenization of Quasi-Periodic Structures
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Topics: Construction, Design, Differential equations, Periodic structures, Shells, Structural acoustics
Journal Articles

Compatibility Equations in the Theory of Elasticity

Igor V. Andrianov, Jan Awrejcewicz
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. April 2003, 125(2): 244–245.
https://doi.org/10.1115/1.1547681
Published Online: April 1, 2003
View Article titled, Compatibility Equations in the Theory of Elasticity
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Topics: Boundary-value problems, Elasticity, Equilibrium (Physics), Stress, Deformation, Partial differential equations, Stress analysis (Engineering)
Journal Articles

Asymptotic approaches in mechanics: New parameters and procedures

Igor V Andrianov, Jan Awrejcewicz, Rem G Barantsev
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. January 2003, 56(1): 87–110.
https://doi.org/10.1115/1.1521436
Published Online: January 15, 2003
View Article titled, Asymptotic approaches in mechanics: New parameters and procedures
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Topics: Approximation, Boundary-value problems, Construction
Journal Articles

New Trends in Asymptotic Approaches: Summation and Interpolation Methods

Igor V. Andrianov, Jan Awrejcewicz
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. January 2001, 54(1): 69–92.
https://doi.org/10.1115/1.3097289
Published Online: January 1, 2001
View Article titled, New Trends in Asymptotic Approaches: Summation and Interpolation Methods
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Topics: Fluid mechanics, Interpolation, Solid mechanics