Dynamics and magneto-rheological control of vibration of cantilever Timoshenko beam under earthquake loads

Ndemanou, Buris Peggy; Metsebo, Jules; Nbendjo, B. R. Nana; Woafo, P.

doi:10.1007/s11071-014-1429-7

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…The eigenvalues

δ_{i}^{j}

and

ε_{i}^{j}

of the j th mode have the miscellaneous values at different modes. These parameters are obtained through an appropriate algorithm …”

Section: Description Of the Physical Modelmentioning

confidence: 99%

“…These parameters are obtained through an appropriate algorithm. [36] In what follows, by using the mode decomposition of expressions of the Equation 13 and substituting them into Equation 9, multiplying by the different spatial expression, and performing the integration from 0 to 1, one gets the dimensionless modal equations, which are defined as follows:…”

Section: Modal Equationsmentioning

confidence: 99%

“…All the same, Miranda and Taghavi used an equivalent continuum model consisting of a flexural cantilever beam and a shear cantilever beam deforming in bending and shear configurations for characterizing the dynamic properties of multi‐storey buildings. The case of interest in this work is to consider the underlying influences in the transverse vibration . Thus, Ndemanou et al have modelled each of the two buildings as an uniform Timoshenko cantilever beam and continuum.…”

Section: Introductionmentioning

confidence: 99%

“…The case of interest in this work is to consider the underlying influences in the transverse vibration. [36,37,38] Thus, Ndemanou et al [39] have modelled each of the two buildings as an uniform Timoshenko cantilever beam and continuum. They have assessed the impact of location control device on the dynamics of buildings subjected to ground acceleration of repeated characters.…”

mentioning

confidence: 99%

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Fuzzy magnetorheological device vibration control of the two Timoshenko cantilever beams interconnected under earthquake excitation

Ndemanou

Nbendjo

2018

Structural Design Tall Build

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Summary This paper deals with the nonstationary random response of the two tall buildings connected via a magnetorheological device. The Timoshenko cantilever beam approach is used to model each of the structures. An analytical procedure for obtaining the modal equations of the whole structural system is detailed. By applying numerically the peak of root‐mean‐square displacement approach, the optimal attachment point of the control device on the structures benefited to the first two vibration modes is determined. Furthermore, a fuzzy controller rule is used to model the failure data by computing the desired voltage leading to a good control at each mode.

show abstract

“…The eigenvalues

δ_{i}^{j}

and

ε_{i}^{j}

of the j th mode have the miscellaneous values at different modes. These parameters are obtained through an appropriate algorithm …”

Section: Description Of the Physical Modelmentioning

confidence: 99%

Section: Modal Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Fuzzy magnetorheological device vibration control of the two Timoshenko cantilever beams interconnected under earthquake excitation

Ndemanou

Nbendjo

2018

Structural Design Tall Build

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show abstract

“…The coefficients

d_{1}^{j}

and

d_{3}^{j}

are obtained by using the boundary conditions of the cantilever Timoshenko beam:

d_{1}^{j} = \frac{\cos (δ_{1}^{j}) + \frac{(ϵ_{1}^{j 2} + μ_{1} δ_{1}^{j 2})}{(δ_{1}^{j 2} + μ_{1} ϵ_{1}^{j 2})} \cosh (ϵ_{1}^{j})}{- (\sin (δ_{1}^{j}) + \frac{ϵ_{1}^{j}}{δ_{1}^{j}} \sinh (ϵ_{1}^{j}))}, d_{3}^{j} = - (\frac{δ_{1}^{j} + μ_{1} \frac{ϵ_{1}^{j 2}}{δ_{1}^{j}}}{ϵ_{1}^{j} + μ_{1} \frac{δ_{1}^{j 2}}{ϵ_{1}^{j}}}) d_{1}^{j} .

In which

δ_{1}^{j}

and

ϵ_{1}^{j}

are eigenvalues defined at the j t h mode of the vibration. Impossible to adopt an analytical consideration, these quoted eigenvalues are obtained from Equation , by using an numerical appropriate algorithm:

({, \begin{matrix} array [(δ_{1}^{j 2} + n...)] \end{matrix})

…”

Section: Description Of Physical Systemmentioning

confidence: 99%

Reduction of vibration on a cantilever Timoshenko beam subjected to repeated sequence of excitation with magnetorheological outriggers

Ndemanou

Fankem

Nbendjo

2017

Structural Design Tall Build

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This paper deals with the statistical effects of an outrigger system on a cantilever beam under seismic excitation. The nonstationary random approach is employed to simulate seismic events.The Timoshenko beam approach is used to model the frame-core tube linked at a point of its length by the damped outriggers, therefore are connected vertically two magnetorheological damper devices. The peak root-mean-square values of displacement responses is employed as a best measure effective to specify the optimal locations of outriggers according to different vibration modes. To evaluate the performance of the control system, the control algorithm based on Lyapunov stability theory is adopted to seek the input voltage leading to the reduction of vibration.

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Multidimensional vibration reduction control of the frame structure with magnetorheological damper

Zhao

Zhang

et al. 2020

Struct Control Health Monit

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Dynamics and magneto-rheological control of vibration of cantilever Timoshenko beam under earthquake loads

Cited by 12 publications

References 16 publications

Fuzzy magnetorheological device vibration control of the two Timoshenko cantilever beams interconnected under earthquake excitation

Fuzzy magnetorheological device vibration control of the two Timoshenko cantilever beams interconnected under earthquake excitation

Reduction of vibration on a cantilever Timoshenko beam subjected to repeated sequence of excitation with magnetorheological outriggers

Multidimensional vibration reduction control of the frame structure with magnetorheological damper

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