Realistic Follower Forces

Sugiyama, Yoshihiko; Langthjem, Mikael A.; Ryu, Bong-To

doi:10.1006/jsvi.1998.2290

Cited by 75 publications

(47 citation statements)

References 16 publications

(13 reference statements)

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“…In this case, the force is dependent on the system parameters and is no longer conservative. The clamped beam under the action of tip follower force is known as the mathematical model for special aerospace structures (Sugiyama, 1999 andMallik et al 2005). In addition, as a suitable model for investigating behaviors of pipes conveying fluid has been considered by many researchers.…”

Section: Latin American Journal Of Solids and Structures 13 (2016) 30mentioning

confidence: 99%

Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations

Sohrabian

Ahmadian

Fathi

2016

Lat. Am. j. solids struct.

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This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange. In the presented formulation, the beam is modeled using Timoshenko beam theory, and constant shear distribution through the thickness of the beam is considered. Consistent interpolation scheme is adopted to avoid the shear locking for thin beams. Consequently, convergence of the finite element simulation is enhanced. The effect of rotary inertial term is considered in the flutter study, which has significant influence on the beam behavior as the beam thickness increases. The axial degrees of freedom are taken into account in energy expressions, to improve the accuracy of the results. Results presented for different beam geometries. The numerical results show high efficiency and good convergence characteristic. The effect of concentrated mass on the flutter instability of beam is considered and results are presented for various locations and values of concentrated masses. Furthermore, the shear effects are highlighted in this study by comparing the results obtained from the Euler-Bernoulli with those obtained from the Timoshenko beam model.

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Section: Latin American Journal Of Solids and Structures 13 (2016) 30mentioning

confidence: 99%

Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations

Sohrabian

Ahmadian

Fathi

2016

Lat. Am. j. solids struct.

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“…The geometric and load stiffness matrices are written in a slightly modified manner, by taking the load P and nonconservativeness parameter 4 In Fig. 1, the mass per unit length of the co larger than t, in order to sustain vibrations in th…”

Section: Aim: To Find the Best Set [X I ]mentioning

confidence: 99%

“…Elishakoff (2005) criticized the existence of a follower force. Sugiyama et al (1999) described the appearance of realistic follower forces in engineering structures. Recent advances in the field of the aeroelastic behaviour of aerospace structures under follower loads have been reviewed and discussed by Datta and Biswas (2011).…”

Section: Introductionmentioning

confidence: 99%

Shape Optimization of Damaged Columns Subjected to Conservative and Non-Conservative Forces

Jatav¹,

Datta²

2014

International Journal of Aeronautical and Space Sciences

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This paper deals with the development of a realistic shape optimization of damaged columns that are subjected to conservative and non-conservative forces, using the Genetic Algorithm (GA). The analysis is based on the design of the most optimized shape of the column under the constraint of constant weight, considering the Static, Vibrational, and Flutter characteristics. Under the action of conservative and non-conservative longitudinal forces, an elastic column loses its stability. A numerical analysis based on FEM has been performed on a uniform damaged column, to compute the fundamental buckling load, vibration frequency, and flutter load, under various end restraints. An optimization search based on the Genetic Algorithm is then executed, to find the optimal shape design of the column. The optimized column references the one having the highest buckling load, highest vibration frequency, and highest flutter load, among all the possible shapes of the column, for a given volume. A comparison is then made between the values obtained for the optimized damaged column, and those obtained for the optimized undamaged column. The comparison reveals that the incorporation of damage in the column alters its optimal shape to only a certain extent. Also, the critical load and frequency values for the optimized damaged column are comparatively low, compared with those obtained for the optimized undamaged column. However, these results hold true only for moderate-intensity damage cases. For high intensity damage, the optimal shape may not remain the same, and may vary, according to the severity of damage.

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“…Dynamic stability of elastic systems loaded by nonconservative and configuration-dependent loads, such as follower forces [1,2], has been thoroughly investigated by many researchers in the last century [3][4][5][6][7][8][9][10]. Some experimental evidences, proving the existence of such a kind of actions in the real world applications, are available, for example, in [10][11][12] and in the critical review [13], notwithstanding the fact that the engineering world is still suspicious of their existence and physical meaning.…”

Section: Introductionmentioning

confidence: 99%

Flexural-Torsional Flutter and Buckling of Braced Foil Beams under a Follower Force

Ferretti

D’Annibale

Luongo

2017

Mathematical Problems in Engineering

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The flutter and buckling behavior of a cantilever foil beam, loaded at the tip by a follower force, are addressed in this paper. The beam is internally and externally damped and braced at the tip by a linear spring-damper device, which is located in an eccentric position with respect to beam axis, thus coupling the flexural and torsional behaviors. An exact linear stability analysis is carried out, and the linear stability diagram of the trivial rectilinear configuration is built up in the space of the follower load and spring's stiffness parameters. The effects of the flexural-torsional coupling, as well as of the damping, on the flutter and buckling critical loads are discussed.

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Realistic Follower Forces

Cited by 75 publications

References 16 publications

Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations

Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations

Shape Optimization of Damaged Columns Subjected to Conservative and Non-Conservative Forces

Flexural-Torsional Flutter and Buckling of Braced Foil Beams under a Follower Force

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