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Journal Articles

Influence of Secondary Inertia Terms on Natural Frequencies of Rotating Beams

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J. L. Bogdanoff
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1955, 22(4): 587–591.
https://doi.org/10.1115/1.4011159
Published Online: June 4, 2021
View Article titled, Influence of Secondary Inertia Terms on Natural Frequencies of Rotating Beams
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Topics: Inertia (Mechanics), Rotating beams, Axial flow, Blades, Cantilever beams, Compressors, Disks, Gas turbines, Rotating disks, Torsion
Journal Articles

A Nonlinear Problem in the Bending Vibration of a Rotating Beam

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Hsu Lo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1952, 19(4): 461–464.
https://doi.org/10.1115/1.4010543
Published Online: April 7, 2021
View Article titled, A Nonlinear Problem in the Bending Vibration of a Rotating Beam
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Topics: Rotating beams, Vibration, Errors, Nonlinear equations, Rotation
Journal Articles

On Centrifugal Softening in Finite Element Method Rotordynamics

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Giancarlo Genta, Mario Silvagni
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. January 2014, 81(1): 011001.
Paper No: JAM-12-1335
https://doi.org/10.1115/1.4024073
Published Online: August 22, 2013
View Article titled, On Centrifugal Softening in Finite Element Method Rotordynamics
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Topics: Disks, Finite element methods, Rotating beams, Rotordynamics, Rotors, Membranes, Rotation, Modeling
Journal Articles

Determination of Isospectral Nonuniform Rotating Beams

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Sandilya Kambampati, Ranjan Ganguli, V. Mani
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2012, 79(6): 061016.
https://doi.org/10.1115/1.4006460
Published Online: September 21, 2012
View Article titled, Determination of Isospectral Nonuniform Rotating Beams
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Topics: Boundary-value problems, Cantilever beams, Finite element analysis, Hinges, Rotating beams, Rotation, Springs, Stiffness, Finite element methods
Journal Articles

Modeling Beams With Various Boundary Conditions Using Fully Intrinsic Equations

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Zahra Sotoudeh, Dewey H. Hodges
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2011, 78(3): 031010.
https://doi.org/10.1115/1.4003239
Published Online: February 15, 2011
View Article titled, Modeling Beams With Various Boundary Conditions Using Fully Intrinsic Equations
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Topics: Boundary-value problems, Steady state, Springs, Modeling, Displacement, Rotation, Rotating beams
Journal Articles

Rotating Beams and Nonrotating Beams With Shared Eigenpair

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Ananth Kumar, Ranjan Ganguli
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 2009, 76(5): 051006.
https://doi.org/10.1115/1.3112741
Published Online: June 18, 2009
View Article titled, Rotating Beams and Nonrotating Beams With Shared Eigenpair
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Topics: Finite element analysis, Finite element methods, Mode shapes, Rotating beams, Stiffness
Journal Articles

Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams

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Jagadish Babu Gunda, Ranjan Ganguli
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 2008, 75(2): 024502.
https://doi.org/10.1115/1.2775497
Published Online: February 25, 2008
View Article titled, Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams
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Topics: Finite element analysis, Rotating beams, String, Differential equations, Rotation, Shapes, Vibration analysis
Journal Articles

Free Vibrations of a Rotating Inclined Beam

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Sen Yung Lee, Jer Jia Sheu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2007, 74(3): 406–414.
https://doi.org/10.1115/1.2200657
Published Online: March 24, 2006
View Article titled, Free Vibrations of a Rotating Inclined Beam
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Topics: Coriolis force, Differential equations, Dynamic systems, Rotating beams, Deformation, Free vibrations, Numerical analysis, Boundary-value problems, Vibration
Journal Articles

The Instability and Vibration of Rotating Beams With Arbitrary Pretwist and an Elastically Restrained Root

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S. M. Lin, Professor,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2001, 68(6): 844–853.
https://doi.org/10.1115/1.1408615
Published Online: August 23, 2000
View Article titled, The Instability and Vibration of Rotating Beams With Arbitrary Pretwist and an Elastically Restrained Root
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Topics: Boundary-value problems, Differential equations, Elastic constants, Inertia (Mechanics), Rotating beams, Vibration
Journal Articles

Bending Frequency of a Rotating Beam With an Elastically Restrained Root

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Sen Yung Lee, Yee Hsiung Kuo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1991, 58(1): 209–214.
https://doi.org/10.1115/1.2897152
Published Online: March 1, 1991
View Article titled, Bending Frequency of a Rotating Beam With an Elastically Restrained Root
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Topics: Buckling, Centrifugal force, Rotating beams, Tension
Journal Articles

Bending Vibrations of a Class of Rotating Beams with Hypergeometric Solutions

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D. Storti, Y. Aboelnaga
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1987, 54(2): 311–314.
https://doi.org/10.1115/1.3173013
Published Online: June 1, 1987
View Article titled, Bending Vibrations of a Class of Rotating Beams with Hypergeometric Solutions
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Topics: Rotating beams, Vibration, Blades, Algorithms, Deflection, Equations of motion, Mode shapes, Rotation, Shapes, Turbomachinery
Journal Articles

Effects of Nonconstant Spin Rate on the Vibration of a Rotating Beam

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D. C. Kammer, A. L. Schlack, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1987, 54(2): 305–310.
https://doi.org/10.1115/1.3173012
Published Online: June 1, 1987
View Article titled, Effects of Nonconstant Spin Rate on the Vibration of a Rotating Beam
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Topics: Particle spin, Rotating beams, Rotation, Spin (Aerodynamics), Vibration, Equations of motion, Steady state
Journal Articles

Stretching and Bending of Rotating Beam

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N. G. Stephen, P. J. Wang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1986, 53(4): 869–872.
https://doi.org/10.1115/1.3171873
Published Online: December 1, 1986
View Article titled, Stretching and Bending of Rotating Beam
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Topics: Blades, Boundary-value problems, Cross section (Physics), Elasticity, Rotating beams, Rotating blades, Rotation
Journal Articles

Discussion: “Liapunov’s Direct Method Applied to the Buckling of Rotating Beams” (Kammer, D. C., and Schlack, Jr., A. L., 1984, ASME J. Appl. Mech., 51, pp. 941–942)

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B. L. Ly
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. September 1985, 52(3): 737.
https://doi.org/10.1115/1.3169133
Published Online: September 1, 1985
View Article titled, Discussion: “Liapunov’s Direct Method Applied to the Buckling of Rotating Beams” (Kammer, D. C., and Schlack, Jr., A. L., 1984, ASME J. Appl. Mech., 51, pp. 941–942)
Open the PDF for Discussion: “Liapunov’s Direct Method Applied to the Buckling of Rotating Beams” (Kammer, D. C., and Schlack, Jr., A. L., 1984, ASME J. Appl. Mech., 51, pp. 941–942) in another window
Topics: Buckling, Rotating beams
Journal Articles

Liapunov’s Direct Method Applied to the Buckling of Rotating Beams

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D. C. Kammer, A. L. Schlack, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. December 1984, 51(4): 941–942.
https://doi.org/10.1115/1.3167753
Published Online: December 1, 1984
View Article titled, Liapunov’s Direct Method Applied to the Buckling of Rotating Beams
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Topics: Buckling, Rotating beams
Journal Articles

Effects of Warping and Pretwist on Torsional Vibration of Rotating Beams

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K. R. V. Kaza, R. E. Kielb
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1984, 51(4): 913–920.
https://doi.org/10.1115/1.3167746
Published Online: December 1, 1984
View Article titled, Effects of Warping and Pretwist on Torsional Vibration of Rotating Beams
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Topics: Rotating beams, Vibration, Warping, Blades, Compressors, Mode shapes, Modeling, Turbofans, Boundary-value problems, Equations of motion
Journal Articles

Vibration Modes of Centrifugally Stiffened Beams

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A. D. Wright, C. E. Smith, R. W. Thresher, J. L. C. Wang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1982, 49(1): 197–202.
https://doi.org/10.1115/1.3161966
Published Online: March 1, 1982
View Article titled, Vibration Modes of Centrifugally Stiffened Beams
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Topics: Boundary-value problems, Cantilever beams, Finite element analysis, Mode shapes, Rotating beams, Stiffness, Vibration
Journal Articles

Asymptotic Integration Methods Applied to Rotating Beams

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C. R. Steele, K. E. Barry
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1980, 47(4): 884–890.
https://doi.org/10.1115/1.3153808
Published Online: December 1, 1980
View Article titled, Asymptotic Integration Methods Applied to Rotating Beams
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Topics: Rotating beams, Differential equations, Rotation
Journal Articles

The Rotating Beam Gyroscope

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C. H. J. Fox, J. S. Burdess
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1980, 47(3): 631–637.
https://doi.org/10.1115/1.3153745
Published Online: September 1, 1980
View Article titled, The Rotating Beam Gyroscope
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Topics: Accelerometers, Damping, Displacement measurement, Dynamics (Mechanics), Engineering prototypes, Instrumentation, Rotating beams, Theoretical analysis
Journal Articles

In-Plane Vibration and Buckling of a Rotating Beam Clamped Off the Axis of Rotation

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D. A. Peters, D. H. Hodges
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1980, 47(2): 398–402.
https://doi.org/10.1115/1.3153676
Published Online: June 1, 1980
View Article titled, In-Plane Vibration and Buckling of a Rotating Beam Clamped Off the Axis of Rotation
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Topics: Buckling, Rotating beams, Rotation, Vibration, Stiffness, Approximation, Composite materials