Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation

Hosseinkhani, Ali; Younesian, Davood; Farhangdoust, Saman

doi:10.1155/2018/3908371

Cited by 26 publications

(8 citation statements)

References 42 publications

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“…Moreover, the set of equations (37)-(41) is decoupled into three subsystems, namely: the first subset compiles three nonlinear fractional derivative equations (37)- (39), the second and the third subsystems involve one linear fractional derivative equation each, i.e. equations (40) and 41, respectively. Thus, in order to find a solution, it is need to examine each subsystem.…”

Section: Solution Of the Eigen Value Problem And Decoupling The Equatmentioning

confidence: 99%

“…generalizing the approach suggested in [28,33]. As for the analysis of nonlinear vibrations of plates, then except the above mentioned papers [16,[18][19][20][21], the fractional derivative Kelvin-Voigt model was used in [37][38][39][40][41][42] and fractional derivative standard linear solid model in [7,43,44] but without considering the phenomena of the internal resonance. Thus, free and forced vertical vibrations of an orthotropic plate have been studied in [37] considering first four modes of flexural vibrations, and during the analysis of force driven vibrations the frequency of a harmonic force was assumed to be equal to one of natural frequencies.…”

Section: Introductionmentioning

confidence: 99%

“…Nonlinear random vibrations of the same plate was studied in [41]. Dynamic nonlinear response to random excitation of a simply supported rectangular plate based on a foundation, damping features of which are described by the fractional derivative Kelvin-Voigt model, has been considered in [40]. The analysis of chaotic vibrations of simply supported nonlinear viscoelastic plate with fractional derivative Kelvin-Voigt model has been carried out in [42] for the case when the plate is subjected to an in-plane harmonic force in one direction and a transverse harmonic force.…”

Section: Introductionmentioning

confidence: 99%

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Classification of Internal Resonances in Nonlinear Fractionaly Damped Uflyand-Mindlin Plates

Shitikova¹,

Osipova²

2020

IJCCSE

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In the present paper, the nonlinear free vibrations of fractionally damped plates are studied, equations of motion of which take the rotary inertia and shear deformations into account and involve fivecoupled nonlinear differentialequations in terms of three mutually orthogonal displacements and two angles of rotation. The procedure resulting in decoupling linear parts of equations has been proposed with further utilization of the generalized method of multiple time scales for solving nonlinear governing equations of motion, in so doing the amplitude functions have been expanded into power series in terms of the small parameter and depend on differenttime scales. The occurrence of the internal or combinational resonances in Uflyand-Mindlinplates has been revealed and classified

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Section: Solution Of the Eigen Value Problem And Decoupling The Equatmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classification of Internal Resonances in Nonlinear Fractionaly Damped Uflyand-Mindlin Plates

Shitikova¹,

Osipova²

2020

IJCCSE

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“…(13) Global structural response testing (GSR) Damage detection based on Global Structural Response could be also categorized among applicable methods in ABC health monitoring. Vibration techniques are used to evaluate the condition of the elements by considering the mechanical properties reflected in their dynamic behavior (Hosseinkhani et al 2018). Changes in modal frequencies and modal shapes are among structural response parameters that can be affected by defects in the structure (Farhangdoust et al 2017).…”

Section: Fig 18 a Schematic Layout For Laser Ultrasonic Testingmentioning

confidence: 99%

Health Monitoring of Closure Joints in Accelerated Bridge Construction: A Review of Non-Destructive Testing Application

Farhangdoust

Mehrabi

2019

ACT

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Accelerated Bridge Construction (ABC) uses prefabricated elements that are made continuous using cast-in-place joints. Deck joints are normally referred to as "Closure Joints." There have been concerns about long-term durability of these joints that are expected to become rapidly serviceable. Normally, they contain reinforcing bars and enclosures of various shapes that in some cases create congestion within the joint. The specific nature of the joint application, in-situ casting, curing, material incompatibility, cold joints, cavities and steel congestion contribute to creating the potential for leaving defects and anomalies in the closure joints. This, in turn, results in a higher potential for exposure and other detrimental effects with possible degradation in time, and therefore reducing the strength and serviceability of the joint, hence creating a weak link for the structure. The long-term deflections and environmental loading will only exacerbate the situation. Hence, evaluation and health monitoring of the closure joints becomes inevitable. Despite the wide use of non-destructive testing (NDT) methods for bridge structures in general, a concerted attempt for categorization of these methods, comparison of capabilities, and selection of methods most applicable to closure joints is lacking. To address this, a research project was carried out as part of activities in the Accelerated Bridge Construction University Transportation Center (ABC-UTC) of Florida International University. This study included a comprehensive literature review with a focus on NDT methods applicable to health monitoring of ABC closure joints. The study focused on joint types relevant to precast concrete decks commonly used for ABC bridges, therefore, FRP (fiber reinforced plastic), timber (wood), and steel of any shape were excluded for the time being. The study resulted in categorizing the most common closure joints in five general groups based on their features affecting the application of the NDT methods. Accordingly, the most promising NDT methods were identified taking into account the distinctive defects and anomalies associated with closure joints. These methods were evaluated for their efficacy, ease of use and other characteristic influencing their use as preferred methods for each type of joint. A flowchart was introduced to assist in selection of the most applicable NDT method to each type of defect in closure joints. This paper summarizes the results of this study.

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“…is phenomenon is known as the heterodyne effect [24,25]. e heterodyne method uses relatively low voltage excitation signal in comparison to the other nonlinear SHM methods [26][27][28][29], and the excitation frequencies are not limited to the combination of a high and a low frequency.…”

Section: Introductionmentioning

confidence: 99%

Composites Bond Inspection Using Heterodyne Effect and SuRE Methods

Tashakori

Baghalian

Senyurek

et al. 2018

Shock and Vibration

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With increasing utilization of the composite materials in commercial and military applications, the longevity of composite bonds has become a crucial concern of the aerospace industry. In spite of the previous studies in the literature for characterization of bonding condition in composite materials, implementation of more advanced structural health monitoring (SHM) techniques are still required to ensure flight safety and quick inspections of structures. In this study, two different SHM methods were used to evaluate the strength of composite bonds by using two separate experimental setups. First, the heterodyne effect method was used for assessing the separation in the composite joint. Then, the surface response to excitation (SuRE) method was used for studying various simulated contamination levels. Results of the experimental studies showed that the proposed methods could be efficiently utilized for evaluating bonding strength of composite materials.

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Dynamic Analysis of a Plate on the Generalized Foundation with Fractional Damping Subjected to Random Excitation

Cited by 26 publications

References 42 publications

Classification of Internal Resonances in Nonlinear Fractionaly Damped Uflyand-Mindlin Plates

Classification of Internal Resonances in Nonlinear Fractionaly Damped Uflyand-Mindlin Plates

Health Monitoring of Closure Joints in Accelerated Bridge Construction: A Review of Non-Destructive Testing Application

Composites Bond Inspection Using Heterodyne Effect and SuRE Methods

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