Concepedia

Analytical Vibration Models

Analytical Vibration Models is a formal mathematical framework within structural dynamics that characterizes the natural frequencies and mode shapes of mechanical systems through exact solutions of governing differential equations, distinguished from numerical or empirical approaches by its reliance on closed-form analytical expressions derived from first principles of physics and continuum mechanics.

122

Publications

7.1K

Citations

296

Authors

153

Institutions

Publications per year

2017–2026

33

Parents

Publications

122

Analytical Methods in Vibrations

Frank H. Jackson · Electronics and Power · 1967 · 1.4K citations

, , +12

<i>Fundamentals of Vibrations</i>

L. Meirovitch, RG Parker · Applied Mechanics Reviews · 2001 · 1.2K citations

, , +17

Improvement of a Large Analytical Model Using Test Data

Alex Berman, Edward J. Nagy · AIAA Journal · 1983 · 559 citations

, , +16

An efficient analytical technique for fractional model of vibration equation

H. M. Srivastava, Devendra Kumar, Jagdev Singh · Applied Mathematical Modelling · 2016 · 219 citations

, , +13

Semi-analytical solution for three-dimensional vibration of functionally graded circular plates

Guojun Nie, Zheng Zhong · Computer Methods in Applied Mechanics and Engineering · 2007 · 140 citations

, , +15

1–5 of 122

Authors

296

  1. RG
    Robert G. Parker

    The Ohio State University, United States

    3 publications · 73 citations

    3

    h-index

  2. MA
    Marco Amabili

    McGill University, Canada

    3 publications · 70 citations

    3

    h-index

  3. CM
    C. Mei

    University of Michigan–Dearborn, United States

    3 publications · 66 citations

    3

    h-index

  4. EV
    Erasmo Viola

    University of Bologna, Italy

    2 publications · 145 citations

    2

    h-index

  5. AB
    Alex Berman

    Bloomfield College, United States

    2 publications · 579 citations

    2

    h-index

1–5 of 296

Institutions

153

  1. Shanghai Jiao Tong University

    Shanghai, China

    4 h-index

    8 publications

    135 citations

  2. Virginia Tech

    Blacksburg, United States

    4 h-index

    6 publications

    178 citations

  3. University of Michigan–Dearborn

    Dearborn, United States

    3 h-index

    4 publications

    78 citations

  4. Kaman (United States)

    Hartford, United States

    3 h-index

    4 publications

    1.2K citations

  5. City University of Hong Kong

    Hong Kong, Hong Kong

    3 h-index

    4 publications

    117 citations

  6. Zhejiang University

    Hangzhou, China

    3 h-index

    10 publications

    232 citations

  7. Harbin Engineering University

    Harbin, China

    3 h-index

    9 publications

    587 citations

  8. University of British Columbia

    Vancouver, Canada

    2 h-index

    3 publications

    137 citations

1–8 of 153

Venues

  1. Journal of Sound and Vibration

    JSV · 22 publications · 710 citations

    17

    h-index

  2. Journal of Applied Mechanics

    6 publications · 270 citations

    6

    h-index

  3. Composite Structures

    6 publications · 317 citations

    5

    h-index

  4. Applied Mathematical Modelling

    4 publications · 299 citations

    4

    h-index

  5. AIAA Journal

    4 publications · 697 citations

    4

    h-index

1–5