Dynamic Equations of Motion for Inextensible Beams and Plates

The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces based on the effect of stretching on bending, and these are less applicable to cantilevers. Recent experimental work indic...

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Veröffentlicht in:	arXiv.org 2021-07
Hauptverfasser:	Deliyianni, Maria, McHugh, Kevin, Webster, Justin T, Dowell, Earl
Format:	Artikel
Sprache:	eng
Schlagworte:	Cantilever beams Cantilever plates Equations of motion Hamilton's principle Lagrange multiplier Mathematical models Mathematics - Analysis of PDEs Nonlinear differential equations One dimensional models Partial differential equations Rectangular plates Stiffness Two dimensional models
Online-Zugang:	Volltext
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