Solving the extremum of static response for structural systems with unknown-but-bounded parameters
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Increasing accuracy in the interval analysis by the improved format of interval extension based on the first order Taylor series
2018, Mechanical Systems and Signal ProcessingCitation Excerpt :In the antenna array analysis, Poli used the interval analysis to investigate the tolerances on the power patterns radiated by linear antenna arrays whose excitations are affected by phase erros [11], Anselmi employed the interval analysis to optimize these excitation tolerances [12], and then Tenuti proposed an innovative approach based on the integration of the interval analysis and the Minkowski sum to predict tight, reliable, and inclusive pattern bounds for planer arrays [13]. And recently, within the framework of static structural analysis, the improved interval analysis by the Extra Unitary Interval (EUI) [14], Interval Perturbation Method (IPM) [15], the Parameterized Interval Analysis (PIA) [16] and Taylor Expansion (TE) [17,18] have been developed. Specifically, Muscolino and Sofi [19] combined the Interval Rational Series Expansion (IRSE) with the Improved Interval Analysis by the Extra Unitary Interval (IIA-EUI) to quantify the uncertain parameters in static analysis of structural systems.
Interval analysis of the wing divergence
2018, Aerospace Science and TechnologyCitation Excerpt :In order to limit the overestimation the generalized interval analysis [13] and the affine arithmetic [14] have been introduced by researchers. In the last decades, within the framework of static structural analysis, the improved interval analysis by the Extra Unitary Interval (EUI) [15], Interval Perturbation Method (IPM) [16], the Parameterized Interval Analysis (PIA) [17] and Taylor Expansion (TE) [18,19] have been developed. Specifically, Muscolino and Sofi [20] combined the Interval Rational Series Expansion (IRSE) with the Improved Interval Analysis by the Extra Unitary Interval (IIA-EUI) to quantify the uncertain parameters in static analysis of structural systems.
Approximate fuzzy analysis of linear structural systems applying intervening variables
2016, Computers and StructuresCitation Excerpt :In this way, the approximate model is constructed using a single structural analysis plus a sensitivity analysis. The application of Taylor series for solving problems of fuzzy structural analysis has already been studied in the literature, see e.g. [30–32,21,33]. The numerical effort associated with the construction of a Taylor series expansion is limited to a single structural analysis (calculation of the stiffness matrix inverse at the expansion point) plus some additional assembly and multiplication of structural matrices for calculating the sensitivity of the structural response with respect to uncertain parameters [34].
Stochastic structural and reliability based optimization of tuned mass damper
2015, Mechanical Systems and Signal ProcessingBounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters
2013, Mechanical Systems and Signal ProcessingCitation Excerpt :The application of the interval analysis method to practical engineering problems is not an easy task due to the complexity of the related algorithms. In the literature, in the case of slight parameter fluctuations and deterministic loads, the so-called Interval Perturbation Method (IPM) or, equivalently, the First-Order Interval Taylor Series Expansion have been successfully adopted to perform both static [12–16] and dynamic structural analysis [17–19]. The main advantages of these methods are the flexibility and the simplicity of the mathematical formulation.
Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis
2012, Probabilistic Engineering MechanicsCitation Excerpt :Numerical results concerning a shear-type frame and a truss structure with uncertain-but-bounded stiffness properties under uniformly modulated white noise excitation are presented to show the effectiveness of the proposed method. In the framework of the interval analysis, when slight uncertainties are involved, the so-called interval perturbation method (IPM) can be successfully adopted to evaluate the upper and lower bounds of the response under static [18–22] or dynamic [10,23–25] deterministic loads. The main advantages of this method are the flexibility and the simplicity of the mathematical formulation.