Dynamic frictional thermoviscoelastic Gao beams

Ahn, Jin Ho

doi:10.1007/s00033-021-01632-5

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The Fully Discrete Numerical Schemes1

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2023

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“…(20) if y l+1 == φ % compute the next step numerical solutions satisfying CCs. (21) u l+1 Ps ← φ; (22) compute…”

Section: The Fully Discrete Numerical Schemesmentioning

confidence: 99%

See 1 more Smart Citation

A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

Ahn¹,

Tate²

2023

IJNAM

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This paper provides mathematical and numerical analyses for a dynamic frictionless contact problem in which both of Signorini's condition and the normal compliance condition are used. The contact problem is considered by employing two viscoelastic (Kelvin-Voigt type) objects: a linear Timoshenko beam and a nonlinear spring. In addition, a transmission condition is imposed on one end of the beam and the top of the spring so that they can touch and vibrate together. We prove the existence of solutions satisfying all the conditions. Time discretizations and finite element methods are utilized to propose the fully discrete numerical schemes. We select several groups of data to present and discuss numerical simulations.

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“…(20) if y l+1 == φ % compute the next step numerical solutions satisfying CCs. (21) u l+1 Ps ← φ; (22) compute…”

Section: The Fully Discrete Numerical Schemesmentioning

confidence: 99%

“…In particular, one-dimensional dynamic contact problems for strings, rods, or beams with or without those side effects have been actively studied. See, e.g., [21,23,19,15,20,16,9,17,18]. If they are integrated, more practical contact models can be built to describe a wide range of physical or engineering situations.…”

Section: Introductionmentioning

confidence: 99%

A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

Ahn¹,

Tate²

2023

IJNAM

View full text Add to dashboard Cite

show abstract

Dynamic frictional thermoviscoelastic Gao beams

Cited by 1 publication

References 22 publications

A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

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