Reanalysis of 2D and 3D truss structures considering simultaneous variations in topology, geometry and size

Rezaiee‐Pajand, Mohammad; Momenipour, Mehran; Hozhabrossadati, Seyed Mojtaba

doi:10.1007/s00366-020-01209-2

Cited by 4 publications

(1 citation statement)

References 35 publications

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“…The Sherman-Morrison method is a linear algebra technique [6] that have been successfully used to solve many engineering problems including structural modifications [12]. In particular, the effects of structural modifications in milling machines [7] and trusses [11] have been predicted with this method. In [10] the effect of a TVA on a multi-DOF mechanical system has been predicted by means of the Sherman-Morrison method, and in [1] some experimental results have been shown.…”

Section: Structural Modificationsmentioning

confidence: 99%

Control of the Vibrations of a Cartesian Automatic Machine

Bottin

Cipriani

Tommasino

et al. 2021

Mechanism Design for Robotics

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This paper deals with the control of the vibrations of an automatic cutting machine with a cartesian kinematic chain. A particular application of the method of structural modifications is considered, since a small number of frequency response function is available. The Sherman-Morrison formula is used to predict the effect of a tuned vibration absorber (TVA) on the vibrations of the machine generated by the cutting tool; the advantages and the limits of this method are discussed. In order to improve the cutting speed, the cutting head moves along the linear guides with relevant accelerations that can excite the TVA, motion induced vibrations are analyzed with a lumped element model.

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