Dynamic Analysis of Elastic Beam-Like Mechanism Systems

In this paper the dynamic behavior of beam-like mechanism systems is investigated. The elastic beam is modeled by finite rigid segments connected by joint springs and dampers. The equations of motion are derived using Kane’s equations. The nonlinear terms are linearized by first order perturbation about a system balanced configuration state leading to geometric stiffness matrices. A simple numerical example of a rotating cantilever beam is presented.

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First order perturbation expansion for systems of convex molecules

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19742333 ◽

1974 ◽

Vol 39 (9) ◽

pp. 2333-2343 ◽

Cited By ~ 19

Author(s):

T. Boublík

Keyword(s):

Perturbation Expansion ◽

Order Perturbation ◽

First Order ◽

First Order Perturbation

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Accurate first-order perturbation theory for fluids: uf-theory

The Journal of Chemical Physics ◽

10.1063/5.0031545 ◽

2021 ◽

Vol 154 (4) ◽

pp. 041102

Author(s):

Thijs van Westen ◽

Joachim Gross

Keyword(s):

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

First Order Perturbation

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First-Order Perturbation Analysis of Secsi With Generalized Unfoldings

2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) ◽

10.1109/icassp.2018.8462287 ◽

2018 ◽

Author(s):

Yao Cheng ◽

Sher Ali Cheema ◽

Martin Haardt ◽

Amir Weiss ◽

Arie Yeredor

Keyword(s):

Perturbation Analysis ◽

Order Perturbation ◽

First Order ◽

First Order Perturbation

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A fast algorithm for adaptive clutter rejection in ultrasound color flow imaging based on the first-order perturbation: A simulation study

IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control ◽

10.1109/tuffc.2010.1629 ◽

2010 ◽

Vol 57 (8) ◽

pp. 1884-1889 ◽

Cited By ~ 2

Author(s):

Wei You ◽

Yuanyuan Wang

Keyword(s):

Simulation Study ◽

Fast Algorithm ◽

Order Perturbation ◽

Flow Imaging ◽

Color Flow ◽

First Order ◽

Clutter Rejection ◽

Color Flow Imaging ◽

First Order Perturbation

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First-order perturbation solutions of embedded strained wires

Journal of Applied Physics ◽

10.1063/1.2400392 ◽

2006 ◽

Vol 100 (12) ◽

pp. 123506 ◽

Cited By ~ 1

Author(s):

C.-H. Chiu ◽

Hangyao Wang

Keyword(s):

Order Perturbation ◽

First Order ◽

First Order Perturbation ◽

Perturbation Solutions

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Note on Interference Effects in Two-Step Reaction Processes

Canadian Journal of Physics ◽

10.1139/p75-315 ◽

1975 ◽

Vol 53 (23) ◽

pp. 2590-2592

Author(s):

J. Cejpek ◽

J. Dobeš

Keyword(s):

Perturbation Theory ◽

Point Of View ◽

Order Perturbation ◽

Interference Effects ◽

Qualitative Explanation ◽

First Order ◽

One Step ◽

Step Transition ◽

Reaction Processes ◽

First Order Perturbation

The reaction processes in which a one-step transition is forbidden are analyzed from the point of view of the first order perturbation theory. The interference between two competing two-step reaction paths is found to be always constructive. A qualitative explanation of the experimentally observed reaction intensities is presented.

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Stochastic multi-scale analysis of homogenised properties considering uncertainties in cellular solid microstructures using a first-order perturbation

Latin American Journal of Solids and Structures ◽

10.1590/s1679-78252014000500002 ◽

2014 ◽

Vol 11 (5) ◽

pp. 755-769 ◽

Cited By ~ 9

Author(s):

Khairul Salleh Basaruddin ◽

Nur Saifullah Kamarrudin ◽

Ishak Ibrahim

Keyword(s):

Order Perturbation ◽

Scale Analysis ◽

Cellular Solid ◽

First Order ◽

Multi Scale ◽

First Order Perturbation ◽

Multi Scale Analysis

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Analysis of the electro-optic effect in anisotropic crystals with 2-mm AND 3-m point group symmetry using a first-order perturbation technique

Microwave and Optical Technology Letters ◽

10.1002/mop.4650061412 ◽

1993 ◽

Vol 6 (14) ◽

pp. 815-820

Author(s):

J. A. Brandao Faria

Keyword(s):

Perturbation Technique ◽

Point Group ◽

Order Perturbation ◽

Group Symmetry ◽

Point Group Symmetry ◽

First Order ◽

Electro Optic ◽

First Order Perturbation

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Analysis of Pneumatic Instability of Externally Pressurized Porous Gas Journal Bearings

Journal of Lubrication Technology ◽

10.1115/1.3453276 ◽

1979 ◽

Vol 101 (1) ◽

pp. 48-53 ◽

Cited By ~ 5

Author(s):

N. S. Rao ◽

B. C. Majumdar

Keyword(s):

Theoretical Analysis ◽

Mass Parameter ◽

Journal Bearings ◽

Order Perturbation ◽

Rigid Rotor ◽

Eccentricity Ratio ◽

Dynamic Displacement ◽

First Order ◽

Supply Pressure ◽

First Order Perturbation

A theoretical analysis is presented for the study of pneumatic instability for a rigid rotor supported in externally pressurized porous gas journal bearings. The analysis is based on a first-order perturbation with respect to the amplitude of dynamic displacement of rotor. The variation of threshold mass parameter with feeding parameter is shown. In addition, the effects of supply pressure, eccentricity ratio, L/D ratio, and porosity parameter are investigated and presented in the form of graphs.

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First-order perturbation for multi-parameter center families

Journal of Differential Equations ◽

10.1016/j.jde.2021.11.035 ◽

2022 ◽

Vol 309 ◽

pp. 291-310

Author(s):

Jackson Itikawa ◽

Regilene Oliveira ◽

Joan Torregrosa

Keyword(s):

Order Perturbation ◽

First Order ◽

First Order Perturbation

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