Non-rotating beams isospectral to a given rotating uniform beam

Kambampati, Sandilya; Ganguli, Ranjan; Mani, V.

doi:10.1016/j.ijmecsci.2012.10.004

Cited by 13 publications

(2 citation statements)

References 34 publications

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“…Kambampati & Ganguli [14] extended the analysis to find non-uniform rotating beams isospectral to a given uniform rotating beam. Kambampati et al [15,16] found non-rotating beams isospectral to rotating uniform beams and rotating beams isospectral to axially loaded non-rotating uniform beams. Kambampati & Ganguli [17,18] found non-uniform beams and stiff springs isospectral to axially loaded uniform beams and piano strings, and non-rotating beams isospectral to tapered rotating beams.…”

Section: Introductionmentioning

confidence: 99%

Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts

Ganguli

2018

R. Soc. open sci.

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In this paper, we look for non-uniform Rayleigh beams isospectral to a given uniform Rayleigh beam. Isospectral systems are those that have the same spectral properties, i.e. the same free vibration natural frequencies for a given boundary condition. A transformation is proposed that converts the fourth-order governing differential equation of non-uniform Rayleigh beam into a uniform Rayleigh beam. If the coefficients of the transformed equation match with those of the uniform beam equation, then the non-uniform beam is isospectral to the given uniform beam. The boundary-condition configuration should be preserved under this transformation. We present the constraints under which the boundary configurations will remain unchanged. Frequency equivalence of the non-uniform beams and the uniform beam is confirmed by the finite-element method. For the considered cases, examples of beams having a rectangular cross section are presented to show the application of our analysis.

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Section: Introductionmentioning

confidence: 99%

Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts

Ganguli

2018

R. Soc. open sci.

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“…Methods for minimizing the control effort of a flight control system (FCS) of a helicopter were frequently and commonly examined in the literature (Bluman & Gandhi, 2011;D Fusato & Celi, 2006;Dario Fusato, Guglieri, & Celi, 2001;Luo, Liu, Yang, & Chang, 2003;Tugrul Oktay & Sal, 2015;T Oktay & Şal, 2015;Tugrul Oktay & Sultan, 2013a, 2013b, 2013c, 2014. Limited number of studies studies on the helicopter blade root chord length and blade taper have been done recently for different reasons (Kambampati, Ganguli, & Mani, 2013;Tugrul Oktay & Sal, 2017;Özdemir & Kaya, 2006;Ozgumus & Kaya, 2007;Vu & Lee, 2015). For instance, in (Özdemir & Kaya, 2006), flapwise bending vibration analysis of a rotating, tapered cantilever Bernoulli-Euler beam (e.g., helicopter blade) was followed via benefiting the differential transform method.…”

Section: Introductionmentioning

confidence: 99%

Effect of the Simultaneous Variation in Blade Root Chord Length and Blade Taper on Maneuvering Manned Helicopter Control Effort

Sal¹

2019

European Journal of Science and Technology

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In this article, the influence of simultaneous variation in blade root chord length and blade taper on the flight control effort of maneuvering helicopter is researched. For this intention, helicopter models which are complex, control-oriented, physics-based models and capturing the main-physics and essential-dynamics are benefited. The influence of simultaneous variation in the blade root chord length and blade taper (i.e., in both chordwise and lengthwise directions dependently) on the control effort of a maneuvering manned helicopter and also on the closed-loop responses are worked. Comparisons in terms of the control effort and peak-values with and without variations in the blade root chord and blade taper changes are followed. For helicopter control variance-constrained controllers (i.e. output variance-constrained controllers) are useful. Shortly, in also maneuvering flight conditions effects and benefits of simultaneous variation in blade root chord length and blade taper on the flight control effort is tried to be proved.

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Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings

Kambampati

Ganguli

2014

Acta Mech

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Non-rotating beams isospectral to a given rotating uniform beam

Cited by 13 publications

References 34 publications

Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts

Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts

Effect of the Simultaneous Variation in Blade Root Chord Length and Blade Taper on Maneuvering Manned Helicopter Control Effort

Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings

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