A comparison of shortening of the projection to axial elasticity

V. Radisavljevic; H. Baruh

A comparison of shortening of the projection to axial elasticity

V. Radisavljevic
, H. Baruh

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper, we consider the combined bending and axial vibrations of beams and we analyze the magnitudes of the different effects that contribute to the motion. Specifically, we consider the transverse elasticity, the axial elasticity, and the shortening of the projection. The goal of our study is to ascertain the circumstances under which the axial elasticity is larger than the shortening of the projection and vice versa. We show that for the majority of cases the shortening of the projection has a larger amplitude than the axial stretch. We also develop a general closed form solution for the response when a force is applied at a free end.

Original language	English
Pages (from-to)	957-965
Number of pages	9
Journal	Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume	2
State	Published - 2001
Externally published	Yes
Event	42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Exhibit Technical Papers - Seattle, WA, United States Duration: 16 Apr 2001 → 19 Apr 2001

Cite this

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title = "A comparison of shortening of the projection to axial elasticity",

abstract = "In this paper, we consider the combined bending and axial vibrations of beams and we analyze the magnitudes of the different effects that contribute to the motion. Specifically, we consider the transverse elasticity, the axial elasticity, and the shortening of the projection. The goal of our study is to ascertain the circumstances under which the axial elasticity is larger than the shortening of the projection and vice versa. We show that for the majority of cases the shortening of the projection has a larger amplitude than the axial stretch. We also develop a general closed form solution for the response when a force is applied at a free end.",

author = "V. Radisavljevic and H. Baruh",

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journal = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",

issn = "0273-4508",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

note = "42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Exhibit Technical Papers ; Conference date: 16-04-2001 Through 19-04-2001",

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T1 - A comparison of shortening of the projection to axial elasticity

AU - Radisavljevic, V.

AU - Baruh, H.

PY - 2001

Y1 - 2001

N2 - In this paper, we consider the combined bending and axial vibrations of beams and we analyze the magnitudes of the different effects that contribute to the motion. Specifically, we consider the transverse elasticity, the axial elasticity, and the shortening of the projection. The goal of our study is to ascertain the circumstances under which the axial elasticity is larger than the shortening of the projection and vice versa. We show that for the majority of cases the shortening of the projection has a larger amplitude than the axial stretch. We also develop a general closed form solution for the response when a force is applied at a free end.

AB - In this paper, we consider the combined bending and axial vibrations of beams and we analyze the magnitudes of the different effects that contribute to the motion. Specifically, we consider the transverse elasticity, the axial elasticity, and the shortening of the projection. The goal of our study is to ascertain the circumstances under which the axial elasticity is larger than the shortening of the projection and vice versa. We show that for the majority of cases the shortening of the projection has a larger amplitude than the axial stretch. We also develop a general closed form solution for the response when a force is applied at a free end.

UR - https://www.scopus.com/pages/publications/0035005553

M3 - Conference article

AN - SCOPUS:0035005553

SN - 0273-4508

VL - 2

SP - 957

EP - 965

JO - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

JF - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

T2 - 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Exhibit Technical Papers

Y2 - 16 April 2001 through 19 April 2001

ER -

A comparison of shortening of the projection to axial elasticity

Abstract

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