Finite Element for Timoshenko Beam Based on Mechanical Impedance.

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Abstract:

A finite element model for representation of a Timoshenko beam segment is derived. The model is a massless beam, having bending and shear flexibility, carrying concentrated masses on rigid arms to account for translatory and rotary inertia. The accuracy of the model is domonstrated by comparing its impedance and ground shock response to those of the exact Timoshenko beam, the exact Bernoulli-Euler beam, and center-of-gravity lumped mass models. Author

Author(s):
Rangaiah, V. P. ; Neubert, V. H.
Author Organization(s):
PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF ENGINEERING MECHANICS
Descriptive Note:
Progress rept. no. 1, Mar 70-Apr 71,
Pagination:
0133

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
N00014-67-A-0385-0010
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*BEAMS(STRUCTURAL), LOADS(FORCES)), MATHEMATICAL MODELS, DIFFERENTIAL EQUATIONS, SHEAR STRESSES, FORCE(MECHANICS), BENDING, DEFLECTION, MATRICES(MATHEMATICS)
Field(s)/Group(s):
Structural Engineering and Building Technology, Mechanics
Keyword(s):
LOADS(FORCES), SHOCK(MECHANICS), *FINITE ELEMENT ANALYSIS, *TIMOSHENKO BEAMS
Report Date:
1971 Apr 01