結構控制的摩擦振動理論(2/2)
Date Issued
2003
Date
2003
Author(s)
DOI
912211E002071
Abstract
The two-year project was proposed to study
friction vibration control of engineering structures
under external disturbances, including the topics
of friction laws, analytic-dynamic framework, and
semi-active control. The former two problems were
studied in the first year whereas the last two as well
as some ensuing issues of the first one were studied
in the second year. The present report is the second
year final report.
For friction laws, we generalize the Coulomb
friction law in which the friction force remains constant
during sliding and the friction sliding is allowed
in only one dimension, to be non-constant and
two-dimensional and moreover n-dimensional. The
resulting two or n-dimensional friction laws allow
the sliding friction force to have a path effect with
possible sliding on a plane or n-dimensional space,
and all feature internal symmetry characterized by
the projective Lorentz or Poincar´e groups with different
domains of definition and group parameters.
We succeed in establishing an analytic-dynamic
framework for motion and constitutive laws and obtaining
its Hamiltonians and canonical equations.
Thus, we reveal their inherent symmetries characterized
by symplectic groups.
For active control of engineering structures,
embracing robustness into our previously developed
control law of contractive symplectic group (CSG),
we obtain a robust active CSG control law. Furthermore,
we combine the active control with the
passive control by friction damper, resulting in a
robust semi-active CSG control law for vibration
abatement.
Subjects
friction
friction damper
vibration
semi-active control
robust control
Hamiltonian
symplectic group
Lorentz group
Publisher
臺北市：國立臺灣大學土木工程學系暨研究所
Type
report
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