NDLI: Derivation of a tappered p-version beam finite element

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Derivation of a tappered p-version beam finite element

Content Provider	NASA Technical Reports Server (NTRS)
Author	Hinnant, Howard E.
Copyright Year	1989
Description	A tapered p-version beam finite element suitable for dynamic applications is derived. The taper in the element is represented by allowing the area moments of inertia to vary as quartic polynomials along the length of the beam, and the cross-sectional area to vary as a quadratic polynomial. The p-version finite-element characteristics are implemented through a set of polynomial shape functions. The lower-order shape functions are identical to the classical cubic and linear shape functions normally associated with a beam element. The higher-order shape functions are a hierarchical set of polynomials that are integrals of orthogonal polynomials. Explicit expressions for the mass and stiffness matrices are presented for an arbitrary value of p. The element has been verified to be numerically stable using shape functions through 22nd order.
File Size	1614830
Page Count	45
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19890016884
Archival Resource Key	ark:/13960/t9d55j97n
Language	English
Publisher Date	1989-08-01
Access Restriction	Open
Subject Keyword	Structural Mechanics Mass Tapering Finite Element Method Stiffness Matrix Moments of Inertia Beams Polynomials Mathematical Models Numerical Stability Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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