The use of a dynamical basis for computing the modes of a beam system with a discontinuous cross-section

Tsukazan, Teresa

doi:10.1016/j.jsv.2004.04.021

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…2. Flexible links featuring surface-bonded piezoelectric actuator and sensor can be modeled as discontinuous cross-section EulerBernoulli beams, with deflection t) (x, d kyi , satisfying the partial differential equation system (Tsukazan, 2005;Copetti et al, 2007) is the flexural rigidity property of the link i (Meirovitch, 1967), and the index k selects the position along the beam length, where 1, 2, and 3 mean respectively before, within, and after the piezoelectric actuator.…”

Section: Dynamic Modelmentioning

confidence: 99%

Simultaneous control and piezoelectric insert optimization for manipulators with flexible link

Bottega¹,

Pergher²,

Fonseca³

2009

J. Braz. Soc. Mech. Sci. & Eng.

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Section: Dynamic Modelmentioning

confidence: 99%

Simultaneous control and piezoelectric insert optimization for manipulators with flexible link

Bottega¹,

Pergher²,

Fonseca³

2009

J. Braz. Soc. Mech. Sci. & Eng.

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“…Em Copetti et al (2007), a análise modal, a base dinâmica gerada a partir da solução de uma equação diferencial de quarta ordem com condições iniciais impulsivas e uma formulação matricial em blocos são usadas para obter os modos de vibração e as frequências naturais de uma viga Euler-Bernoulli segmentada com amortecimento interno e amortecimento viscoso externo além de dispositivos tipo mola e amortecedor anexados nas seções da viga. Tsukazan (2005) considerou o problema de uma viga Euler-Bernoulli com seção transversal descontínua e usou a base dinâmica para encontrar os modos de vibração do sistema.…”

Section: Introductionunclassified

Frequências E Autofunções Do Sistema De Duas Cordas Acopladas

Rodrigues

Copetti

2014

CeN

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Neste trabalho, é considerado um sistema formado por duas cordas paralelas, bi-apoiadas sujeitas a uma tensão constante e anexadas por uma camada viscoelástica. O deslocamento transversal do modelo é descrito por duas equações diferenciais parciais de segunda ordem acopladas devido ao termo viscoelástico. O sistema é resolvido através da metodologia que usa uma formulação matricial em blocos e a base dinâmica para determinar as frequências e as autofunções ou modos de vibração do problema.

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“…Two types of discontinuous beams are considered in the current paper, the first type of discontinuous beams is stepped beams. The analytical and numerical investigation of the dynamic response of stepped beams has been carried out by a number of researchers [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Most of these investigations have been performed for the centrally stepped beams using EulerBernoulli beam theory or for beams with a single geometric discontinuity.…”

Section: Introductionmentioning

confidence: 99%

Ritz analysis of discontinuous beams using local trigonometric functions

2010

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The objective of the current paper is to present a Ritz-type analytical model for predicting the behavior of discontinuous beams such as thin-walled beams with cracks and multiply-stepped beams. The beam is discretized in the cracked as well as the un-cracked domains for a cracked thinwalled beam and in uniform beams for a multiple-stepped beam. A set of local trigonometric trial functions is used to define the twist angle for the cracked domain and the un-cracked domains, as well as to define the displacement field for uniform domains. A global equation system of unknown Ritz coefficients is derived by minimizing the Lagrangian functional or the total potential energy. In the present Ritz model, the interface continuity conditions between sub-domains are investigated and enforced into the global equation system using the condensation procedure or the Lagrange multipliers. Examples are presented to illustrate the effectiveness of the current model for free vibration and torsional analysis. Results obtained from the current model are found to agree well with those obtained using a detailed Present Address: finite element method or with existing results in literature. The proposed model offers an efficient approach to reduce the modeling efforts and computational time required to analyze complex beams with cracks or multiple steps.

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The use of a dynamical basis for computing the modes of a beam system with a discontinuous cross-section

Cited by 10 publications

References 18 publications

Simultaneous control and piezoelectric insert optimization for manipulators with flexible link

Simultaneous control and piezoelectric insert optimization for manipulators with flexible link

Frequências E Autofunções Do Sistema De Duas Cordas Acopladas

Ritz analysis of discontinuous beams using local trigonometric functions

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