Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam | Zendy

C. P. Vyasarayani | Zendy; Sukhpreet Singh Sandhu | Zendy; John McPhee | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Nonsmooth Modeling of Vibro-Impacting Euler-Bernoulli Beam

Author(s) -

C. P. Vyasarayani,

Sukhpreet Singh Sandhu,

John McPhee

Publication year - 2012

Publication title -

advances in acoustics and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.237

H-Index - 14

eISSN - 1687-627X

pISSN - 1687-6261

DOI - 10.1155/2012/268595

Subject(s) - lagrange multiplier , obstacle , beam (structure) , point (geometry) , bernoulli's principle , multiplier (economics) , timoshenko beam theory , structural engineering , classical mechanics , physics , mechanics , mathematics , mathematical analysis , engineering , mathematical optimization , geometry , thermodynamics , macroeconomics , political science , law , economics

A new technique to simulate nonsmooth motions occurring in vibro-impacting continuous systems is proposed. Sticking motions that are encountered during vibro-impact simulation are imposed exactly using a Lagrange multiplier, which represents the normal reaction force between the continuous system and the obstacle. The expression for the Lagrange multiplier is developed in closed form. The developed theory is demonstrated by numerically simulating the forced response of a pinned-pinned beam impacting a point-like rigid obstacle

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research