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Relevant bibliographies by topics / Bernoulli hypothesis

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Academic literature on the topic 'Bernoulli hypothesis'

Author: Grafiati

Published: 29 July 2024

Last updated: 30 July 2024

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Journal articles on the topic "Bernoulli hypothesis"

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Sampath, S., and L. Pephine Renitta. "Chance Hypotheses Testing." International Journal of Fuzzy System Applications 5, no. 3 (July 2016): 77–108. http://dx.doi.org/10.4018/ijfsa.2016070105.

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This paper considers the problem of testing hypotheses about hybrid distributions which are models representing situations where impreciseness (explained through fuzzy measure) and randomness (explained through probability measure) coexist. A criterion similar to the Neyman-Pearson criterion is proposed for testing a simple chance null hypothesis against a simple chance alternative hypothesis. The suggested criterion has been applied for testing hypotheses about hybrid triangular Bernoulli distribution and hybrid Poisson distribution. Optimal properties of the resulting tests have also been investigated.

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Babilua, Petre, and Elizbar Nadaraya. "On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations." Georgian Mathematical Journal 29, no. 2 (January 6, 2022): 167–77. http://dx.doi.org/10.1515/gmj-2021-2133.

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Abstract In the paper, the limiting distribution is established for an integral square deviation of estimates of Bernoulli regression functions based on two group samples. Based on these results, the new test is constructed for the hypothesis testing on the equality of two Bernoulli regression functions. The question of consistency of the constructed test is studied, and the asymptotic of the test power is investigated for some close alternatives.

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Zaikin, A. A. "Asymptotic Expansion of D-Risks for Hypothesis Testing in Bernoulli Scheme." Lobachevskii Journal of Mathematics 39, no. 3 (April 2018): 413–23. http://dx.doi.org/10.1134/s1995080218030204.

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Ciuonzo, D., A. De Maio, and P. Salvo Rossi. "A Systematic Framework for Composite Hypothesis Testing of Independent Bernoulli Trials." IEEE Signal Processing Letters 22, no. 9 (September 2015): 1249–53. http://dx.doi.org/10.1109/lsp.2015.2395811.

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Granstrom, Karl, Peter Willett, and Yaakov Bar-Shalom. "Approximate Multi-Hypothesis Multi-Bernoulli Multi-Object Filtering Made Multi-Easy." IEEE Transactions on Signal Processing 64, no. 7 (April 2016): 1784–97. http://dx.doi.org/10.1109/tsp.2015.2500884.

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Novikov, Andrey. "A numerical approach to sequential multi-hypothesis testing for Bernoulli model." Sequential Analysis 42, no. 3 (July 3, 2023): 303–22. http://dx.doi.org/10.1080/07474946.2023.2215825.

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Karelis, Charles. "Distributive Justice and the Public Good." Economics and Philosophy 2, no. 1 (April 1986): 101–25. http://dx.doi.org/10.1017/s026626710000081x.

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Many philosophers and some economists value economic equality on the ground that transfers from the relatively rich to the relatively poor increase the utility of the poor more than they reduce the utility of the rich. These philosophers and economists are assuming the ethical principle that a pattern of economic distribution is justified by maximizing aggregate utility. They are also assuming the truth of an empirical generalization proposed in the eighteenth century by Daniel Bernoulli–that successive equal increments of income produce ever-diminishing increments in an individual's level of utility. In the first part of this essay I will argue against Bernoulli's hypothesis, and suggest an alternative view of the relation between income and utility.

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Zhang, Zijing, Fei Zhang, and Chuantang Ji. "Multi-robot cardinality-balanced multi-Bernoulli filter simultaneous localization and mapping method." Measurement Science and Technology 33, no. 3 (December 23, 2021): 035101. http://dx.doi.org/10.1088/1361-6501/ac3784.

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Abstract In order to improve the simultaneous localization and mapping (SLAM) accuracy of mobile robots in complex indoor environments, the multi-robot cardinality-balanced multi-Bernoulli filter SLAM (MR-CBMber-SLAM) method is proposed. First of all, this method introduces a multi-Bernoulli filter based on the random finite set (RFS) theory to solve the complex data association problem. This method aims to overcome the problem that the multi-Bernoulli filter will overestimate the aspect of SLAM map feature estimation, and combines the strategy of balancing cardinality with a multi-Bernoulli filter. What is more, in order to further improve the accuracy and operating efficiency of SLAM, a multi-robot strategy and a multi-robot Gaussian information-fusion method are proposed. In the experiment, the MR-CBMber-SLAM method is compared with the multi-vehicle probability hypothesis density SLAM (MV-PHD-SLAM) method. The experimental results show that the MR-CBMber-SLAM method is better than MV-PHD-SLAM method. Therefore, it effectively verifies that the MR-CBMber-SLAM method is more adaptable to a complex indoor environment.

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Ren, Yayun, and Benlian Xu. "A Quantitative Analysis on Two RFS-Based Filtering Methods for Multicell Tracking." Mathematical Problems in Engineering 2014 (2014): 1–17. http://dx.doi.org/10.1155/2014/495765.

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Multiobject filters developed from the theory of random finite sets (RFS) have recently become well-known methods for solving multiobject tracking problem. In this paper, we present two RFS-based filtering methods, Gaussian mixture probability hypothesis density (GM-PHD) filter and multi-Bernoulli filter, to quantitatively analyze their performance on tracking multiple cells in a series of low-contrast image sequences. The GM-PHD filter, under linear Gaussian assumptions on the cell dynamics and birth process, applies the PHD recursion to propagate the posterior intensity in an analytic form, while the multi-Bernoulli filter estimates the multitarget posterior density through propagating the parameters of a multi-Bernoulli RFS that approximates the posterior density of multitarget RFS. Numerous performance comparisons between the two RFS-based methods are carried out on two real cell images sequences and demonstrate that both yield satisfactory results that are in good agreement with manual tracking method.

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Li, Shijie, and Humin Lei. "Measurement-Driven Multi-Target Multi-Bernoulli Filter." Mathematical Problems in Engineering 2018 (July 22, 2018): 1–9. http://dx.doi.org/10.1155/2018/6515608.

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A measurement-driven multi-target multi-Bernoulli (MeMBer) filter which modifies the MeMBer filter by the measurements information is proposed in this paper. The proposed filter refines both the legacy estimates and the data-induced estimates of the MeMBer filter. For the targets under the legacy track set, the detection probabilities derived from the measurements are employed to refine the multi-target distribution. And for the targets under the data-induced track set, the multi-target distribution is further improved by the modified existence probabilities of the legacy tracks. Unlike the cardinality balanced MeMBer (CBMeMBer) filter, the proposed filter removes the cardinality bias in the MeMBer filter by utilizing the measurements information. Simulation results show that, compared with the traditional methods, the proposed filter can improve the stability and accuracy of the estimates and does not need the high detection probability hypothesis.

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Dissertations / Theses on the topic "Bernoulli hypothesis"

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Лісовенко, Дмитро Володимирович, Дмитрий Владимирович Лисовенко, Dmytro Volodymyrovych Lisovenko, and А. В. Лисовенко. "Подтверждение гипотез Якова Бернулли и принцип Сен-Венана на моделях видов деформации." Thesis, Сумский государственный университет, 2014. http://essuir.sumdu.edu.ua/handle/123456789/40608.

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Chia, Nicholas Lee-Ping. "Sequence alignment." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1154616122.

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Pace, Michele. "Stochastic models and methods for multi-object tracking." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2011. http://tel.archives-ouvertes.fr/tel-00651396.

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La poursuite multi-cibles a pour objet le suivi d'un ensemble de cibles mobiles à partir de données obtenues séquentiellement. Ce problème est particulièrement complexe du fait du nombre inconnu et variable de cibles, de la présence de bruit de mesure, de fausses alarmes, d'incertitude de détection et d'incertitude dans l'association de données. Les filtres PHD (Probability Hypothesis Density) constituent une nouvelle gamme de filtres adaptés à cette problématique. Ces techniques se distinguent des méthodes classiques (MHT, JPDAF, particulaire) par la modélisation de l'ensemble des cibles comme un ensemble fini aléatoire et par l'utilisation des moments de sa densité de probabilité. Dans la première partie, on s'intéresse principalement à la problématique de l'application des filtres PHD pour le filtrage multi-cibles maritime et aérien dans des scénarios réalistes et à l'étude des propriétés numériques de ces algorithmes. Dans la seconde partie, nous nous intéressons à l'étude théorique des processus de branchement liés aux équations du filtrage multi-cibles avec l'analyse des propriétés de stabilité et le comportement en temps long des semi-groupes d'intensités de branchements spatiaux. Ensuite, nous analysons les propriétés de stabilité exponentielle d'une classe d'équations à valeurs mesures que l'on rencontre dans le filtrage non-linéaire multi-cibles. Cette analyse s'applique notamment aux méthodes de type Monte Carlo séquentielles et aux algorithmes particulaires dans le cadre des filtres de Bernoulli et des filtres PHD.

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FANTACCI, CLAUDIO. "Distributed multi-object tracking over sensor networks: a random finite set approach." Doctoral thesis, 2015. http://hdl.handle.net/2158/1003256.

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The aim of the present dissertation is to address distributed tracking over a network of heterogeneous and geographically dispersed nodes (or agents) with sensing, communication and processing capabilities. Tracking is carried out in the Bayesian framework and its extension to a distributed context is made possible via an information-theoretic approach to data fusion which exploits consensus algorithms and the notion of Kullback–Leibler Average (KLA) of the Probability Density Functions (PDFs) to be fused. The first step toward distributed tracking considers a single moving object. Consensus takes place in each agent for spreading information over the network so that each node can track the object. To achieve such a goal, consensus is carried out on the local single-object posterior distribution, which is the result of local data processing, in the Bayesian setting, exploiting the last available measurement about the object. Such an approach is called Consensus on Posteriors (CP). The first contribution of the present work is an improvement to the CP algorithm, namely Parallel Consensus on Likelihoods and Priors (CLCP). The idea is to carry out, in parallel, a separate consensus for the novel information (likelihoods) and one for the prior information (priors). This parallel procedure is conceived to avoid underweighting the novel information during the fusion steps. The outcomes of the two consensuses are then combined to provide the fused posterior density. Furthermore, the case of a single highly-maneuvering object is addressed. To this end, the object is modeled as a jump Markovian system and the multiple model (MM) filtering approach is adopted for local estimation. Thus, the consensus algorithms needs to be re-designed to cope with this new scenario. The second contribution has been to devise two novel consensus MM filters to be used for tracking a maneuvering object. The novel consensus-based MM filters are based on the First Order Generalized Pseudo-Bayesian (GPB1) and Interacting Multiple Model (IMM) filters. The next step is in the direction of distributed estimation of multiple moving objects. In order to model, in a rigorous and elegant way, a possibly time-varying number of objects present in a given area of interest, the Random Finite Set (RFS) formulation is adopted since it provides the notion of probability density for multi-object states that allows to directly extend existing tools in distributed estimation to multi-object tracking. The multi-object Bayes filter proposed by Mahler is a theoretically grounded solution to recursive Bayesian tracking based on RFSs. However, the multi-object Bayes recursion, unlike the single-object counterpart, is affected by combinatorial complexity and is, therefore, computationally infeasible except for very small-scale problems involving few objects and/or measurements. For this reason, the computationally tractable Probability Hypothesis Density (PHD) and Cardinalized PHD (CPHD) filtering approaches will be used as a first endeavour to distributed multiobject filtering. The third contribution is the generalisation of the single-object KLA to the RFS framework, which is the theoretical fundamental step for developing a novel consensus algorithm based on CPHD filtering, namely the Consensus CPHD (CCPHD). Each tracking agent locally updates multi-object CPHD, i.e. the cardinality distribution and the PHD, exploiting the multi-object dynamics and the available local measurements, exchanges such information with communicating agents and then carries out a fusion step to combine the information from all neighboring agents. The last theoretical step of the present dissertation is toward distributed filtering with the further requirement of unique object identities. To this end the labeled RFS framework is adopted as it provides a tractable approach to the multi-object Bayesian recursion. The δ- GLMB filter is an exact closed-form solution to the multi-object Bayes recursion which jointly yields state and label (or trajectory) estimates in the presence of clutter, misdetections and association uncertainty. Due to the presence of explicit data associations in the δ-GLMB filter, the number of components in the posterior grows without bound in time. The fourth contribution of this thesis is an efficient approximation of the δ-GLMB filter, namely Marginalized δ-GLMB (Mδ-GLMB), which preserves key summary statistics (i.e. both the PHD and cardinality distribution) of the full labeled posterior. This approximation also facilitates efficient multi-sensor tracking with detection-based measurements. Simulation results are presented to verify the proposed approach. Finally, distributed labeled multi-object tracking over sensor networks is taken into account. The last contribution is a further generalization of the KLA to the labeled RFS framework, which enables the development of two novel consensus tracking filters, namely the Consensus Marginalized δ-Generalized Labeled Multi-Bernoulli (CM-δGLMB) and the Consensus Labeled Multi-Bernoulli (CLMB) tracking filters. The proposed algorithms provide a fully distributed, scalable and computationally efficient solution for multi-object tracking. Simulation experiments on challenging single-object or multi-object tracking scenarios confirm the effectiveness of the proposed contributions.

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Books on the topic "Bernoulli hypothesis"

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T͡Sit͡siashvili, G. Sh. Kommutat͡sionnye ėffekty v skheme Bernulli. Vladivostok: DVO AN SSSR, 1991.

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Book chapters on the topic "Bernoulli hypothesis"

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Streit, Roy, Robert Blair Angle, and Murat Efe. "Multi-Bernoulli Mixture and Multiple Hypothesis Tracking Filters." In Analytic Combinatorics for Multiple Object Tracking, 113–43. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61191-0_5.

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Melo, Brian Alvarez R. de, and Luis Gustavo Esteves. "Bayesian Hypothesis Testing in Finite Populations: Bernoulli Multivariate Variables." In Springer Proceedings in Mathematics & Statistics, 197–205. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12454-4_16.

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de B Pereira, Carlos A., Eduardo Y. Nakano, Victor Fossaluza, Luís Gustavo Esteves, Mark AGannon, and Adriano Polpo. "Hypothesis Tests for Bernoulli Experiments: Ordering the Sample Space by Bayes Factors and Using Adaptive Significance Levels for Decisions." In Entropy: Theory and New Insights. Vide Leaf, Hyderabad, 2020. http://dx.doi.org/10.37247/etni.1.2020.9.

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Achinstein, Peter. "Introduction." In Particles And Waves, 151–63. Oxford University PressNew York, NY, 1991. http://dx.doi.org/10.1093/oso/9780195065473.003.0006.

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Abstract So many of the properties of matter, especially when in the gaseous form, can be deduced from the hypothesis that their minute parts are in rapid motion, the velocity increasing with the temperature, that the precise nature of this motion becomes a subject of rational curiosity. Daniel Bernouilli, Herapath, Joule, Kr önig, Clausius, etc. have shewn that the relations between pressure, temperature, and density in a perfect gas can be explained by supposing the particles to move with uniform velocity in straight lines, striking against the sides of the containing vessel and thus producing pressure. (vol. I, p. 377)

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Conference papers on the topic "Bernoulli hypothesis"

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Krysko, V. A., O. A. Saltykova, A. V. Krysko, and I. V. Papkova. "Nonlinear dynamics of contact interaction of MEMS beam elements accounting the Euler-Bernoulli hypothesis in a temperature field." In 2017 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2017. http://dx.doi.org/10.1109/dynamics.2017.8239471.

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Chen, Changping, Shoujian Li, and Liming Dai. "Static Pull-In Analysis of an Electrically Actuated Piezoelectric Viscoelastic Microbeam." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63574.

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Nonlinear piezoelectric viscoelastic model is used to account for a DC load and a pizeoelectric voltage. On the basis of the Euler-Bernoulli hypothesis, nonlinear static pull-in phenomena of a piezoelectric viscoelastic microbeam under a DC load and a pizeoelectric voltage is studied and the corresponding numerical analyses are performed. The influences of piezoelectric effect on the static pull-in voltages of the piezoelectric viscoelastic microbeam are discussed.

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Chen, Changping, Yejie Jiang, Li Hong, and Liming Dai. "Nonlinear Dynamic Stability of an Electrically Actuated Microbeam Structure in MEMS." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62124.

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In this article, based on the Euler-Bernoulli hypothesis and the Galerkin method, ananalysis of the nonlinear dynamic stability for a clamped-guided piezoelectric laminated microbeam under both a periodic axial force and a symmetric electrostatic load is presented. By using the incremental harmonic balanced method (IHBM), the boundary of the principal region of instability is got. In the numerical calculation, the effect of the environmental damping, geometric nonlinear, piezoelectric effect and the symmetric electrostatic load on the principal region of instability is discussed.

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Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Static Research of an Electrically Actuated Piezoelectric Laminated Microbeam." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10685.

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The paper presents a nonlinear static research for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current (DC)] are investigated. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method, an analytical is presented. Numerical examples show, when a purely DC is applied, there exist an instantaneous pull-in voltage, the effect of the pull-in phenomenon have the relation not with elastic parameter but with voltage on the piezoelectric layer.

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Abedinnasab, Mohammad H., and Mahmoud I. Hussein. "Analysis of Elastic Wave Propagation in Nonlinear Beams." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48672.

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We derive the exact dispersion relations for flexural elastic wave motion in a beam under finite deformation. We employ the Euler-Bernoulli kinematic hypothesis. Focusing on homogeneous waveguides with constant cross-section, we utilize the exact strain tensor and retain all high order terms. The results allow us to quantify the deviation in the dispersion curves when exact large deformation is considered compared to the small strain assumption. We show that incorporation of finite deformation shifts the frequency dispersion curves downwards. Furthermore, the group velocity increases with wavenumber but this trend reverses at high wavenumbers when the wave amplitude is sufficiently high. At sufficiently high wave amplitudes, the group velocity becomes negative at high wavenumbers. This study on nonlinear homogeneous beams lays the foundation for future development to nonlinear periodic beams.

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Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Dynamic Analysis of an Electrically Actuated Piezoelectric Laminated Microbeam With the Effect of AC." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37029.

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The paper presents not a nonlinear static research but dynamic anlysis for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current and a combined current composed of a direct current and an alternating current] are investigated, respectively. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method and the fourth-order Runge-Kutta method, an analytical is presented. Numerical examples show, when a purely DC is applied, there exist an instantaneous pull-in voltage, under the combined current, not only the direct current voltage and the amplitude of the alternating current voltage can make the piezoelastic laminated microbeam collapse, but also the different voltage parameter of it can affect the pull-in phenomenon.

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Zhang, Yichi, and Bingen Yang. "Medium Frequency Vibration Analysis of Beam Structures Modeled by the Timoshenko Beam Theory." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23098.

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Abstract Vibration analysis of complex structures at medium frequencies plays an important role in automotive engineering. Flexible beam structures modeled by the classical Euler-Bernoulli beam theory have been widely used in many engineering problems. A kinematic hypothesis in the Euler-Bernoulli beam theory is that plane sections of a beam normal to its neutral axis remain normal when the beam experiences bending deformation, which neglects the shear deformation of the beam. However, as observed by researchers, the shear deformation of a beam component becomes noticeable in high-frequency vibrations. In this sense, the Timoshenko beam theory, which describes both bending deformation and shear deformation, may be more suitable for medium-frequency vibration analysis of beam structures. This paper presents an analytical method for medium-frequency vibration analysis of beam structures, with components modeled by the Timoshenko beam theory. The proposed method is developed based on the augmented Distributed Transfer Function Method (DTFM), which has been shown to be useful in various vibration problems. The proposed method models a Timoshenko beam structure by a spatial state-space formulation in the s-domain, without any discretization. With the state-space formulation, the frequency response of a beam structure, in any frequency region (from low to very high frequencies), can be obtained in an exact and analytical form. One advantage of the proposed method is that the local information of a beam structure, such as displacements, bending moment and shear force at any location, can be directly obtained from the space-state formulation, which otherwise would be very difficult with energy-based methods. The medium-frequency analysis by the augmented DTFM is validated with the FEA in numerical examples, where the efficiency and accuracy of the proposed method is present. Also, the effects of shear deformation on the dynamic behaviors of a beam structure at medium frequencies are illustrated through comparison of the Timoshenko beam theory and the Euler-Bernoulli beam theory.

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Schmidt, R. "Modeling of Large Amplitude Vibration Control of Beams and Cylindrical Deformations of Plates and Shells With Distributed Piezoelectric Actuators." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/ad-23743.

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Abstract The paper deals with the geometrically nonlinear theory and finite element method for the simulation of large amplitude vibration control of straight and curved beams, or what is equivalent, cylindrical deformations of plates and shells, consisting of a master structure with integrated thin piezoelectric layers or patches. The theory is based on the Bernoulli or Kirchhoff-Love hypothesis, respectively, and constitutes an entirely Lagrangean displacement formulation for small strains with no restrictions imposed on the magnitude of rotations or displacements. Based on modified strain measures the strain-displacement relations are only quadratic in terms of displacements and their gradients. Work-conjugate stress resultants and stress couples are derived from the internal virtual work associated with the first approximation of the strain energy density. Based on the principle of virtual displacements the FE equations for the simulation of static and dynamic response control are derived.

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Arumugam, Jayavel, and Arun Srinivasa. "Thermodynamic Modeling of Ionic Polymer-Metal Composite Beams." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-8149.

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A thermodynamically consistent model to simulate the electromechanical response of ionic polymer-metal composite (IPMC) beams has been developed based on Euler-Bernoulli beam theory. Appropriate assumptions have been made and suitable forms for the Helmholtz free energy and the rate of dissipation have been chosen. The governing equations, describing the actuation and sensing behavior of IPMC strips in air, have been formulated using a set of kinematic assumptions, the power theorem, and the maximum rate of dissipation hypothesis, neglecting inertial effects. The model has been extended to solve for large deformations in IPMC cantilevers with certain loading conditions. The model has been shown to simulate the electromechanical responses of both Nafion and Flemion based IPMC strips. This includes the initial overshoot followed by a gradual back-relaxation observed in the tip deflection measurements of Nafion based IPMC strips under the application of a step voltage. It has been shown that a coupled convective heating term in the rate of dissipation function is crucial for simulating this overshoot and the back relaxation.

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Abdelmoula, Hichem, and Abdessattar Abdelkefi. "Analysis and Characterization of Piezoelectric Energy Harvesting From Galloping and Base Excitations With Complex Electrical Circuitry." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60255.

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The characteristics and performance of piezoelectric energy harvesters concurrently subjected to galloping and base excitations when using a complex electrical circuit are studied. The considered energy harvester is composed of a bilayered cantilever beam with a square cylindrical structure at its tip. Euler-Bernoulli beam theory, nonlinear quasi-steady hypothesis, and Galerkin method are used to develop a reduced order model of this system. The electrical circuitry of the harvester consists of a load resistance, a capacitance, and an inductance. The impacts of the electrical components of the harvester’s circuitry, the wind speed, and the base excitation frequency and acceleration on the broadband characteristics of the harvester, quenching phenomenon, and appearance of new nonlinear behaviors are deeply investigated and discussed. When both coupled frequencies of electrical and mechanical types exists and are far from each other, it is shown that the quenching phenomenon is only related to the coupled frequency of mechanical type. Unlike the existence of the quenching phenomenon, the results show that the beating phenomenon takes place for different excitation frequencies when they are close to the coupled frequencies of electrical and mechanical types.

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