Sparse polynomial chaos expansions of frequency response functions using stochastic frequency transformation

Yaghoubi, Vahid; Marelli, Stefano; Sudret, Bruno; Abrahamsson, Thomas

doi:10.1016/j.probengmech.2017.04.003

Cited by 53 publications

(30 citation statements)

References 39 publications

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“…This work is a generalization of this phase parametrization approach to linear systems with multiple dofs. It is close to a recent work by Yaghoubi et al who propose a piecewise linear transform of frequency intervals between several selected frequencies (resonances and anti-resonance) [10]. This work proposes an analytic function instead of a two steps process (frequencies selection and piecewise linear transformations).…”

Section: Introductionsupporting

confidence: 66%

Phase driven study for stochastic linear multi-dofs dynamic response

Sarrouy¹

2019

Mechanical Systems and Signal Processing

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This work addresses the computation of dynamic responses of stochastic linear systems using polynomial chaos expansion. As is now well known, polynomial chaos does not offer an accurate representation of dynamic response around resonances when the responses are evaluated for several frequency values. A new parametrization of the frequency response function is then proposed: instead of considering the frequency as the main parameter, a "total phase" parameter is defined and used to define the dynamical system to be solved. It is shown via two applications that this approach offers very accurate results when conjugated to polynomial chaos with low degree.

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Section: Introductionsupporting

confidence: 66%

Phase driven study for stochastic linear multi-dofs dynamic response

Sarrouy¹

2019

Mechanical Systems and Signal Processing

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“…Theoretically, chemical ripeners (popularly called plant growth regulators) are synthetic products that act as plant hormones, applied to crops for improve its quality and, consequently, supply add-value feedstocks to the industrial processing. Nationally, glyphosate, methyl-sulfumeturon-methyl, ethephon, and ethyl-trinexapac, are the commonly tested main products at sugarcane tillages and, for this reason, there are little scientific information about the its benefits to sweet sorghum crop (Han et al, 2011;Meschede et al, 2011;Heerden et al, 2012;Viana et al, 2015;Muhwiridzwa et al, 2016;Viana et al, 2016).…”

Section: Perfil Tecnológico De Caldo De Sorgo Sacarino (Cv Cmsxs-646mentioning

confidence: 99%

“…Sixty-days after sowing, glyphosate and methyl-sulfumeturon doses were sprayed using a CO 2 -pressurized sprayer with six flat nozzles (AXI-11002) spaced at 0.5 m along to spraying boom body (Viana et al, 2016). The applications were performed in the morning, from 8:00 to 11:00 a.m., at 25 ± 2.5°C and 70 ± 5.0 % air relative humidity.…”

Section: Regarding Soil Preparation Basis Saturationmentioning

confidence: 99%

TECHNOLOGICAL PROFILE OF SWEET SORGHUM JUICE cv. CMSXS-646 SUBMITTED TO CHEMICAL RIPENERS APPLICATION AND SAMPLING PERIODS

Moreira¹,

Viana²,

Mateus³

et al. 2018

RBMS

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- There is a little information about sweet sorghum crop behavior under chemical ripeners spraying management. Therefore, the aim of this study was to assess the technological profile of sweet sorghum (cv. CMSXS-646) juice under spraying of plant growth regulators and sampling periods. A randomized complete block experimental factorial design was used, with an additional control treatment (arrangement 2x2+1), corresponding to two chemical ripeners with three-doses for each product, glyphosate (0.2, 0.4, and 0.8 l c.p. ha-1) and methyl-sulfumeturon (10, 20, and 30 g c.p. ha-1), two sampling periods (15 and 30-days after spraying - DAS) and one control treatment (water spraying). After crop harvest, stalks were milled using a hydraulic press and the derived juice was assessed for total soluble solids (°Brix), apparent sucrose (POL), purity (PRT), reducing sugars (RS), total reducing sugars (TRS), fibers (FIB) and recoverable theoretical sugars (RTS). The dataset was subjected to the Shapiro-Wilk, Fisher, Tukey, Pearson and multiple linear regression statistical tests (p<0.05). There was an interaction between causes of variation for almost all assessed characteristics except to RTS, only affected by the sampling period. As conclusion, it is possible to grow sweet sorghum (cv. CMSXS-646) till thirty-days after spraying of chemical ripeners, treated by glyphosate 0.4 l c.p. ha-1 or sulfumeturon-methyl 10 g c.p. ha-1, because these doses caused feedstock with high °Brix, POL, total reducing sugars, purity levels.Keywords: Sorghum spp., phytorregulators, plant growth regulators, glyphosate, sulfumeturon-methyl. PERFIL TECNOLÓGICO DE CALDO DE SORGO SACARINO (cv. CMSXS-646) SUBMETIDO À APLICAÇÃO DE MATURADORES QUÍMICOS E ÉPOCAS DE AMOSTRAGEMRESUMO – Há poucas informações sobre o comportamento da cultura do sorgo sacarino sob manejo de aplicação de maturadores químicos. Portanto, o objetivo desta pesquisa foi avaliar o perfil tecnológico de caldo de sorgo sacarino cv. CMSXS-646 submetido à aplicação de maturadores químicos e períodos de amostragem. Aplicou-se o delineamento de blocos inteiramente casualizados, em esquema de fatorial (2x2+1), correspondente a dois maturadores químicos com três dosagens - glifosato (0,2; 0,4 e 0,8 l p.c. ha-1) e sulfumeturon-metil (10, 20 e 30 g p.c. ha-1); dois períodos de amostragem (15 e 30 dias após aplicação - DAA); e um tratamento controle (aplicação de água). Após a colheita, destinaram-se colmos à moagem, realizada em prensa hidráulica, para extração de caldo; avaliaram-se sólidos solúveis totais (°Brix), sacarose aparente (POL), pureza (PRT), açúcares redutores (AR), açúcares redutores totais (ART), fibras (FIB) e açúcares teóricos recuperáveis (ATR). Ao conjunto de dados, aplicaram-se testes estatísticos, Shapiro- Wilk, Fisher, Tukey, Pearson e regressão múltipla, ao nível de 5% de probabilidade. Houve interação entre as causas de variação para quase todas as características, exceto ATR, influenciado, somente, pelo período de amostragem. Concluiu-se que a aplicação dos maturadores químicos glifosato 0,4 l c.p. ha-1 e sulfumeturon-metil 10 g p.c. ha-1 apresentou um incremento na qualidade da matéria-prima com alto teor de °Brix, POL, açúcares redutores totais e níveis de pureza trinta dias após a pulverização dos maturadores.Palavras-chave: Sorghum spp., fitorreguladores, reguladores de crescimento vegetal,

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“…The method is very clever and give good results for the computation of FRF in the two cases discussed in [24].…”

mentioning

confidence: 99%

Pitfalls in the frequency response represented onto Polynomial Chaos for random SDOF mechanical systems

Pagnacco

Sarrouy

Sampaio

et al. 2017

Applied Mathematical Modelling

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Uncertainties are present in the modeling of dynamical systems and they must be taken into account to improve the prediction of the models. It is very important to understand how they propagate and how random systems behave. This study aims at pointing out the somehow complex behavior of the structural response of stochastic dynamical systems and consequently the difficulty to represent this behavior using spectral approaches.The main objective is to find numerically the probability density function (PDF) of the response of a random linear mechanical systems. Since it is found that difficulties can occur even for a single-degree-of-freedom system when only the stiffness is random, this work focuses on this application to test several methods. Polynomial Chaos performance is first investigated for the propagation of uncertainties in several situations of stiffness variances for a damped single-degree-of-freedom system. For some specific conditions of damping and stiffness variances, it is found that numerical difficulties occur for the standard polynomial bases near the resonant frequency, where it is generally observed that the shape of the system response PDFs presents multimodality. Strategies to build enhanced bases are then proposed and investigated with varying degrees of success.Finally a multi-element approach is used in order to gain robustness.

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Sparse polynomial chaos expansions of frequency response functions using stochastic frequency transformation

Cited by 53 publications

References 39 publications

Phase driven study for stochastic linear multi-dofs dynamic response

Phase driven study for stochastic linear multi-dofs dynamic response

TECHNOLOGICAL PROFILE OF SWEET SORGHUM JUICE cv. CMSXS-646 SUBMITTED TO CHEMICAL RIPENERS APPLICATION AND SAMPLING PERIODS

Pitfalls in the frequency response represented onto Polynomial Chaos for random SDOF mechanical systems

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