Exact Global Representation of All Symmetric Periodic Solutions for Zero Stiffness Impact Oscillator (Derivation by Cesaro's Summation Method)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.70.3022 ◽

2004 ◽

Vol 70 (699) ◽

pp. 3022-3029

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Summation Method ◽

Impact Oscillator ◽

Global Representation

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Exact Global Representation of Symmetric Periodic Solutions for Periodically Excited Lumped Mass Discontinuous System having no Stiffness (Extension to Derivation for All Symmetric Periodic Solutions by Cesaro's Summation Method)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.71.776 ◽

2005 ◽

Vol 71 (703) ◽

pp. 776-783

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Summation Method ◽

Lumped Mass ◽

Discontinuous System ◽

Global Representation

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Exact Determination of Anti-Symmetric Periodic Solutions for Impact Oscillator

The Proceedings of Ibaraki District Conference ◽

10.1299/jsmeibaraki.2002.37 ◽

2002 ◽

Vol 2002 (0) ◽

pp. 37-38

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Impact Oscillator ◽

Exact Determination

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Exact Derivation of Global Form of All Periodic Solutions for Zero Stiffness Impact Oscillator using Initial Value Correction Periodize Method (Case of Viscous Damping Free System)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.72.706 ◽

2006 ◽

Vol 72 (715) ◽

pp. 706-713

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Viscous Damping ◽

Initial Value ◽

Impact Oscillator ◽

Free System ◽

Global Form ◽

Exact Derivation

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A new analytical approach to derive global function form of periodic solutions for impact oscillator

The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04. ◽

10.1109/mwscas.2004.1354235 ◽

2004 ◽

Author(s):

H. Imamura

Keyword(s):

Periodic Solutions ◽

Analytical Approach ◽

Function Form ◽

Impact Oscillator ◽

Global Function

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Global Representation of General Solution and Canonical Forms for piecewise Linear Oscillators. Formulation for Impact Oscillator.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.64.4167 ◽

1998 ◽

Vol 64 (627) ◽

pp. 4167-4175 ◽

Author(s):

Hitoshi IMAMURA ◽

Kohei SUZUKI

Keyword(s):

General Solution ◽

Piecewise Linear ◽

Canonical Forms ◽

Impact Oscillator ◽

Global Representation

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Periodic Solution for Zero Stiffness Impact Oscillator (Derivation of Symmetric Fundamental Periodic Solution by Cesaro's Summation Method)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.70.325 ◽

2004 ◽

Vol 70 (690) ◽

pp. 325-332

Author(s):

Hitoshi IMAMURA ◽

Kohei SUZUKI

Keyword(s):

Periodic Solution ◽

Summation Method ◽

Impact Oscillator

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Exact Derivation of Global Form of All Periodic Solutions for Zero Stiffness Impact Oscillator using Initial Value Correction Periodize Method (Case of Viscous Damped System)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.71.3359 ◽

2005 ◽

Vol 71 (712) ◽

pp. 3359-3366

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Initial Value ◽

Impact Oscillator ◽

Global Form ◽

Damped System ◽

Exact Derivation

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Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2017.10.009 ◽

2018 ◽

Vol 28 ◽

pp. 54-74 ◽

Author(s):

Huong Le Thi ◽

Stéphane Junca ◽

Mathias Legrand

Keyword(s):

Periodic Solutions ◽

Degree Of Freedom ◽

Impact Oscillator ◽

Two Degree Of Freedom

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Exact Derivation of All Periodic Solutions for Impact Oscillator (Proposition of Initial Value Correction Periodize Method)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.70.1914 ◽

2004 ◽

Vol 70 (695) ◽

pp. 1914-1921 ◽

Author(s):

Hitoshi IMAMURA

Keyword(s):

Periodic Solutions ◽

Initial Value ◽

Impact Oscillator ◽

Exact Derivation

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Resonant periodic solutions in regularized impact oscillator

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125035 ◽

2021 ◽

Vol 499 (2) ◽

pp. 125035

Author(s):

Oleg Makarenkov ◽

Ferdinand Verhulst

Keyword(s):

Periodic Solutions ◽

Impact Oscillator

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