On the influence of the parameter constraint on the stability of the poles and the discrimination capabilities of the stabilisation diagrams

Cauberghe, Bart; Guillaume, Patrick; Verboven, Peter; Vanlanduit, Steve; Parloo, Eli

doi:10.1016/j.ymssp.2004.07.007

Cited by 39 publications

(26 citation statements)

References 13 publications

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“…In [21] it is shown that when the last coefficient of a is fixed, the mathematical and system poles can be distinguished best. This principle is used to plot the stability charts.…”

Section: Modal Estimation Methodsmentioning

confidence: 99%

Modal Measurements and Model Corrections of A Large Stroke Compliant Mechanism

Wijma¹,

Boer²,

Aarts³

et al. 2014

Archive of Mechanical Engineering

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In modelling flexure based mechanisms, generally flexures are modelled perfectly aligned and nominal values are assumed for the dimensions. To test the validity of these assumptions for a two Degrees Of Freedom (DOF) large stroke compliant mechanism, eigenfrequency and mode shape measurements are compared to results obtained with a flexible multibody model. The mechanism consists of eleven cross flexures and seven interconnecting bodies. From the measurements 30% lower eigenfrequencies are observed than those obtained with the model. With a simplified model, it is demonstrated that these differences can be attributed to wrongly assumed leaf spring thickness and misalignment of the leaf springs in the cross flexures. These manufacturing tolerances thus significantly affect the behaviour of the two DOF mechanism, even though it was designed using the exact constraint design principle. This design principle avoids overconstraints to limit internal stresses due to manufacturing tolerances, yet this paper shows clearly that manufacturing imperfections can still result in significantly different dynamic behaviour.

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“…In [21] it is shown that when the last coefficient of a is fixed, the mathematical and system poles can be distinguished best. This principle is used to plot the stability charts.…”

Section: Modal Estimation Methodsmentioning

confidence: 99%

Modal Measurements and Model Corrections of A Large Stroke Compliant Mechanism

Wijma¹,

Boer²,

Aarts³

et al. 2014

Archive of Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…The formulation is similar to the LSCF estimator described in [4,11,62]. The LSCF estimator uses a common-denominator model to be curvefitted on all FRF estimates in a least squares sense.…”

Section: Step 1 Rfpsmentioning

confidence: 99%

“…Both problems can be circumvented by using mounts with high-stiffness springs (so-called hard mounts). Due to the higher stiffness, the suspension frequencies will be higher (typically [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Therefore, the transmission of floor vibrations will also increase.…”

Section: Introductionmentioning

confidence: 99%

“…based on predictive error models [34] or subspace identification [12], identify a model describing input-output relations. Modal identification methods [4,6,11,62] are dedicated to identify the resonance frequencies and mode shapes of a structural dynamic system. An advantage of modal identification methods over general system identification methods is that some basic knowledge about the nature of the system can be used to enforce constraints (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…The first step of the method is based on the framework of the least squares complex frequency domain (LSCF) estimator [4,11,62]. The LSCF estimator is using estimates of the frequency response functions (FRF estimates) to identify the system poles by curvefitting a model on all FRF estimates simulta-neously.…”

Section: Introductionmentioning

confidence: 99%

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