Dynamic stability of elastic structures: a finite element approach

Briseghella, L.; Majorana, C. E.; Pellegrino, Carlo

doi:10.1016/s0045-7949(98)00084-4

Cited by 74 publications

(19 citation statements)

References 5 publications

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“…If the effect of damping is negligible and there is no sinusoidal excitation the a and b coefficients will appear only on the side of sine and cosine functions, respectively; therefore the harmonic balance method results are not two but four system matrices [27]. The results of this approach will be used later as a basis of comparison for the damped case.…”

Section: Equation Of Motion the Equation Of Motion (Eom)mentioning

confidence: 99%

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Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Pölöskei

Szekrényes

2018

Mathematical Problems in Engineering

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The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton’s principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin’s harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.

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Section: Equation Of Motion the Equation Of Motion (Eom)mentioning

confidence: 99%

“…However in bigger systems the use of Bolotin's harmonic balance method [26] is easier and there is an algorithmic approach to increase the order of approximation. The method was successfully applied in many types of systems such as in case of beams [27][28][29], plates [30][31][32], and shells [33,34] as well.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Pölöskei

Szekrényes

2018

Mathematical Problems in Engineering

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“…In their paper they used Small-scale (1:15) model for experimental analysis. The numerical results of the model were compared with the experimental results [7]. Numerical studies are extended to find the influence of the plan and bay dimensions, normalized stiffness, height of stories, on the fundamental frequency of the moment resisting frames.…”

Section: Moment Resistance Steel Framesmentioning

confidence: 99%

A study on effects of castling on natural frequencies of 3D undamped steel frames using finite element method

Bagheri¹,

Baharom²,

Niaki³

2017

J. Fundam and Appl Sci.

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The effects of castling on natural frequencies in 3D steel frames were investigated in this study since accurate assessment of fundamental period (frequency) of a structure is an essential part of design and analysis processes. The use of LUSAS 14.03 was adopted to calculate free vibration characteristics of frames. Thin shell element was used to modeling frames. The initial results are verified by Cinitha.A, Rama Raju. K & Nagesh.R. Iyer (2008) and hand calculations using UBC code.. Furthermore different parameters such as Number of stories, Height of frames, Percentage of Castling, stiffness of connections and Supports Conditions were considered in order to evaluate their effects in frame modal respond. The results of above investigation show that by increasing the percent of castling the natural frequency will increase. Also by reduction of connection rigidity fundamental frequency will reduce. In order to achieve effective earthquake design we also have to consider these two parameters. Finally some suggestions were made in order to improve steel design against earth quake effects.

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“…The dynamic instability of Euler beams has been studied by a lot of scholars [3][4][5][6][7]. However, in these previous studies, axial loads along the beams are commonly simplified as harmonic loads or step loads, whereas the wind load is arbitrary and random load and cannot be such simplified.…”

Section: Introductionmentioning

confidence: 99%

Parametric Instability of Euler Beams under Random Wind Loads

Huang¹,

Liu²,

Lu³

2016

dteees

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Abstract. The present study discusses the approach of dynamic stability analysis for pin-ended beams under random wind loads. The Schwarz's inequality is adopted to determine the boundary of dynamic instability, and analyses under a real time history of wind forces are carefully carried out. Studies show that the relationship of variance and mean of wind load determines the state of parametric stability of the beam. Increase of the variance or the mean will make the beam be subject to instability. The beam becomes more stable with stronger elasticity, higher damping and density.

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Dynamic stability of elastic structures: a finite element approach

Cited by 74 publications

References 5 publications

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

A study on effects of castling on natural frequencies of 3D undamped steel frames using finite element method

Parametric Instability of Euler Beams under Random Wind Loads

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