Using the R-functions theory for investigation of nonlinear vibrations of FGM shallow shells

Shell Structures: Theory and Applications Volume 4 ◽

10.1201/9781315166605-75 ◽

2017 ◽

pp. 333-336

Author(s):

T.V. Shmatko ◽

A. Bhaskar

Keyword(s):

Nonlinear Vibrations ◽

Shallow Shells ◽

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Investigating geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness via the R-functions theory

Composite Structures ◽

10.1016/j.compstruct.2015.02.054 ◽

2015 ◽

Vol 125 ◽

pp. 575-585 ◽

Author(s):

Jan Awrejcewicz ◽

Lidiya Kurpa ◽

Tatiana Shmatko

Keyword(s):

Variable Thickness ◽

Nonlinear Vibrations ◽

Geometrically Nonlinear ◽

Shallow Shells ◽

Geometrically Nonlinear Vibrations ◽

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Nonlinear vibrations of shallow shells with complex boundary: R-functions method and experiments

Journal of Sound and Vibration ◽

10.1016/j.jsv.2007.05.045 ◽

2007 ◽

Vol 306 (3-5) ◽

pp. 580-600 ◽

Author(s):

Lidia Kurpa ◽

Galina Pilgun ◽

Marco Amabili

Keyword(s):

Nonlinear Vibrations ◽

Shallow Shells ◽

Complex Boundary ◽

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Research of Nonlinear Vibrations of Laminated Shallow Shells with Cutouts by R-functions Method

Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines ◽

10.20998/2078-9130.2016.46.88056 ◽

2016 ◽

Vol 1 (46) ◽

pp. 86-89

Author(s):

L. Kurpa ◽

G. Timchenko ◽

A. Osetrov

Keyword(s):

Nonlinear Vibrations ◽

Shallow Shells ◽

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RANDOMLY FORCED NONLINEAR VIBRATIONS OF LAYERED SKEW PLATES AND SHALLOW SHELLS

10.2514/6.1993-1625 ◽

1993 ◽

Author(s):

R. HEUER ◽

H. IRSCNIK ◽

F. ZIEGLER ◽

FELLOW ASME

Keyword(s):

Nonlinear Vibrations ◽

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Investigation of the stress-strain state of the laminated shallow shells by R-functions method combined with spline-approximation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201000164 ◽

2011 ◽

Vol 91 (6) ◽

pp. 458-467 ◽

Author(s):

J. Awrejcewicz ◽

L. Kurpa ◽

A. Osetrov

Keyword(s):

Strain State ◽

Spline Approximation ◽

Stress Strain ◽

Shallow Shells ◽

Stress Strain State ◽

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Analysis of Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells of a Complex Shape

Latin American Journal of Solids and Structures ◽

10.1590/1679-78253817 ◽

2017 ◽

Vol 14 (9) ◽

pp. 1648-1668 ◽

Author(s):

Jan Awrejcewicz ◽

Lidiya Kurpa ◽

Tetyana Shmatko

Keyword(s):

Nonlinear Vibrations ◽

Complex Shape ◽

Functionally Graded ◽

Geometrically Nonlinear ◽

Shallow Shells ◽

Geometrically Nonlinear Vibrations

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Vibration analysis of laminated functionally graded shallow shells with clamped cutout of the complex form by the Ritz method and the R-functions theory

Latin American Journal of Solids and Structures ◽

10.1590/1679-78254911 ◽

2019 ◽

Vol 16 (1) ◽

Author(s):

Lidiya Kurpa ◽

Tetyana Shmatko ◽

Jan Awrejcewicz

Keyword(s):

Vibration Analysis ◽

Ritz Method ◽

Complex Form ◽

Functionally Graded ◽

Shallow Shells ◽

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Application of the R‐functions in free vibration analysis of FGM plates and shallow shells with temperature dependent properties

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.202000080 ◽

2020 ◽

Author(s):

Jan Awrejcewicz ◽

Lidiya Kurpa ◽

Tetyana Shmatko

Keyword(s):

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Temperature Dependent ◽

Shallow Shells ◽

Temperature Dependent Properties ◽

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Nonlinear vibrations of doubly-curved cross-ply shallow shells

10.2514/6.2001-1661 ◽

2001 ◽

Author(s):

K. Alhazza ◽

A. Nayfeh

Keyword(s):

Nonlinear Vibrations ◽

Shallow Shells ◽

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Nonlinear vibrations of functionally graded doubly curved shallow shells

Journal of Sound and Vibration ◽

10.1016/j.jsv.2010.10.003 ◽

2011 ◽

Vol 330 (7) ◽

pp. 1432-1454 ◽

Author(s):

F. Alijani ◽

M. Amabili ◽

K. Karagiozis ◽

F. Bakhtiari-Nejad

Keyword(s):

Nonlinear Vibrations ◽

Functionally Graded ◽

Shallow Shells ◽

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