TY - JOUR
T1 - Generalized stiffness and effective mass coefficients for power-law Euler–Bernoulli beams
AU - Nurakhmetov, Daulet
AU - Wei, Dongming
N1 - Funding Information:
The research was supported by the Nazarbayev University ORAU grant “Modeling and Simulation of Nonlinear Material Structures for Mechanical Pressure Sensing and Actuation Applications”.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We extend the well-known concept and results for lumped parameters used in the spring-like models for linear materials to Hollomon’s power-law materials. We provide the generalized stiffness and effective mass coefficients for the power-law Euler–Bernoulli beams under standard geometric and load conditions. In particular, our mass-spring lumped parameter models reduce to the classical models when Hollomon’s law reduces to Hooke’s law. Since there are no known solutions to the dynamic power-law beam equations, solutions to our mass lumped models are compared to the low-order Galerkin approximations in the case of cantilever beams with circular and rectangular cross-sections.
AB - We extend the well-known concept and results for lumped parameters used in the spring-like models for linear materials to Hollomon’s power-law materials. We provide the generalized stiffness and effective mass coefficients for the power-law Euler–Bernoulli beams under standard geometric and load conditions. In particular, our mass-spring lumped parameter models reduce to the classical models when Hollomon’s law reduces to Hooke’s law. Since there are no known solutions to the dynamic power-law beam equations, solutions to our mass lumped models are compared to the low-order Galerkin approximations in the case of cantilever beams with circular and rectangular cross-sections.
KW - Effective mass coefficient
KW - Generalized stiffness coefficient
KW - Lumped parameter models
KW - Power-law Euler–Bernoulli beams
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U2 - 10.1007/s10409-019-00912-8
DO - 10.1007/s10409-019-00912-8
M3 - Article
AN - SCOPUS:85075915794
VL - 36
SP - 160
EP - 175
JO - Acta Mechanica Sinica/Lixue Xuebao
JF - Acta Mechanica Sinica/Lixue Xuebao
SN - 0567-7718
IS - 1
ER -