How valid are Sugiyama׳s experiments on follower forces?

Mutyalarao, M.; Bharathi, Divya; Narayana, K. L.; Rao, B. Nageswara

doi:10.1016/j.ijnonlinmec.2014.12.007

Cited by 6 publications

(9 citation statements)

References 15 publications

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“…They had demonstrated the stabilization of the system due to rocket thrust. However, their test results were found to be well below the critical load estimates (Mutyalarao et al, 2017). Tomski and Uzny (2013) had considered a slender system under a conservative load (in which the direction of force was towards the positive pole) and a non-conservative load (generating the Beck's load through a reaction engine), whose investigations were well documented in (Tomski et al, 1998;Tomski et al,2007;Tomski & Szmidia, 2004;Tomski & Uzny, 2008;Tomski & Uzny, 2010;Tomski & Uzny, 2011).…”

Section: Introductionmentioning

confidence: 98%

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Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

2021

JST

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Dynamic stability of elastic structures is a fascinating topic. Many researchers have examined the problem theoretically considering a cantilever column under a tip-concentrated tangential load, the so-called Beck column. Experimental verification is demanded since the critical load of Beck column is found to be approximately eight times to that of the classical Euler column. Different types of testing procedures are being adopted to create the follower force. Among them, notable Willems experimentation provides the critical load close to that of Beck column. Investigations made by other researchers indicate the controversy associated with modeling and testing of Willems on Beck column. Such an intriguing problem of structures loaded by non-conservative forces is revisited here through a simple mathematical formulation. This paper confirms the adequacy of Willems approach on Beck column and the wrong critical load assessment of others. It indicates the possibility on the practical realization of follower forces

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Section: Introductionmentioning

confidence: 98%

“…, the governing equations are written in non-dimensional form as Equation 9, 10, 11, 12 and 13 (Mutyalarao et al, 2012;Mutyalarao et al, 2017)…”

Section: Introductionmentioning

confidence: 99%

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Revisited the Critical Load Assessment of Huang et al. on Willems Tested Beck Column

2021

JST

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“…Sugiyama et al [23][24][25] have conducted experiments by mounting a solid rocket motor at a freeend of the cantilever column to generate a tipconcentrated sub-tangential follower force. Their test results cannot be utilized directly for comparison of critical load estimates [26]. Xiong-Wang-Tabarrok experimental model of centripetally loaded column simulates the Beck column [27].…”

Section: Introductionmentioning

confidence: 99%

“… ( s ) is the angle between the tangent to the deformed column and its vertical axis. BQ=  , is the distance from the tip (B) of the un-deformed column to the point (Q) where the tangent line AQ at the free end of the deformed column intersects the column axis OB at Q. Denoting E and I as the Young's modulus and the moment of inertia respectively, Mutyalarao et al [13,26] have presented a system of nonlinear differential equations assuming harmonic motion for large deflections of a cantilever column based on the moment (M)-…”

Section: Introductionmentioning

confidence: 99%

On The Simulation of Beck Column through a Simple Xiong-Wang-Tabarrok Experimental Model of Centripetally Loaded Column

2020

IJETER

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The controversial articles authored by Koiter and by Sugiyama, Langthjem and Ryu on unrealistic and realistic follower forces indicate the complexity in experimental verification. Elishakoff has made a review on various testing procedures creating the follower force. Xiong, Wang and Tabarrok have proposed a simple experimental model of centripetally loaded column simulating the Beck column. They have not conducted experiments up to the initiation of instability. They have employed a curvefitting procedure for the measured data relevant to the load parameter and the frequency parameter.The estimated stability load of Beck's column from the fitted curve is below 10% of the theoretical value. They have analyzed the dynamic characteristics of Beck column and a centripetally loaded column for showing the equivalence of a frequency and the corresponding mode. This article demonstrates their equivalence directly from the dynamic characteristics of Beck column. The discrepancy between dynamic analysis results and test data (if any) can be due to the assigned values of the Young's modulus and mass density of the material. The characteristic equation of Beck's column should not be modified to account the discrepancies as being done by Xiong, Wang and Tabarrok, whose experiments are partially successful.

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