Stability of axially accelerating viscoelastic beams: multi-scale analysis with numerical confirmations

By Hu Ding, Liqun Chen. 2008

63 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/126f0726bd4f30cd96aacc3058d11849225d2018

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Bo Wang
2. N. Banichuk
3. Matti Kurki
4. Tero Tuovinen
5. J. Jeronen
6. Tytti Saksa
7. Liqun Chen
8. Xiaodong Yang

In Control and Systems Engineering

1. Bo Wang
2. N. Banichuk
3. Matti Kurki
4. Tero Tuovinen
5. J. Jeronen
6. Tytti Saksa
7. Liqun Chen
8. Xiaodong Yang

Citations in the corpus

• Stability of axially accelerating viscoelastic beams: asymptotic perturbation analysis and differential quadrature validation (2009, methodology): “Other numerical methods such as the Galerkin finite-element method (Čepon and Boltežar, 2007) and the finite difference method (Ding and Chen, 2008) may also serve the propose.”
• Dynamic analysis for axially moving viscoelastic panels (2012, methodology): “With the help of (5) and assuming that l = m, we may write ¼ kD: Proceeding in a similar way to Ding and Chen (2008) but using the stress–strain relation in (2), we finally obtain the dynamic equilibrium w;tt þ 2V0w;xt þ kD m w;xxxxt þ ðV20 T0 m Þw;xx þ D m w;xxxx þ V0 kD m w;xxxxx ¼ 0: ð6Þ In Eq.”