Multiple Homoclinics for Nonperiodic Damped Systems with Superlinear Terms
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0396-1
Abstract: We study the following second-order differential system 0.1$$\begin{aligned} -\ddot{u}(t)-M\dot{u}(t)+L(t)u(t)=H_u(t,u(t)),\quad t\in \mathbb {R}, \end{aligned}$$-u¨(t)-Mu˙(t)+L(t)u(t)=Hu(t,u(t)),t∈R,which can be regarded as a second-order Hamiltonian system with a damped term. Here, the nonlinearity H(t, u) is superquadratic as $$|u|\rightarrow \infty $$|u|→∞.… read more here.
Keywords: damped systems; systems superlinear; superlinear terms; homoclinics nonperiodic ... See more keywords
Eigensolutions of nonviscously damped systems based on the fixed-point iteration
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2017.12.025
Abstract: Abstract In this paper, nonviscous, nonproportional, symmetric vibrating structures are considered. Nonviscously damped systems present dissipative forces depending on the time history of the response via kernel hereditary functions. Solutions of the free motion equation… read more here.
Keywords: damped systems; nonviscously damped; eigensolutions nonviscously; systems based ... See more keywords
Simultaneous active and passive control for eigenstructure assignment in lightly damped systems
Sign Up to like & getrecommendations! Published in 2017 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2016.08.046
Abstract: Abstract The assignment of the eigenstructure (i.e. eigenvalues and eigenvectors) in vibrating systems is an effective way to improve their dynamic performances. System controllability ensures that the poles of the controlled system are exactly assigned… read more here.
Keywords: damped systems; eigenstructure assignment; control; lightly damped ... See more keywords
A comparative study of design sensitivity analysis based on adjoint variable method for transient response of non-viscously damped systems
Sign Up to like & getrecommendations! Published in 2018 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2018.03.043
Abstract: Abstract In this paper, design sensitivity analysis methods for the transient response of non-viscously damped systems are considered. The damping forces of the non-viscously damped systems depend on the past history of motion via convolution… read more here.
Keywords: damped systems; method; sensitivity analysis; non viscously ... See more keywords
Long-time behavior of partially damped systems modeling degenerate plates with piers
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DOI: 10.1088/1361-6544/ac24e2
Abstract: We consider a partially damped nonlinear beam-wave system of evolution PDE’s modeling the dynamics of a degenerate plate. The plate can move both vertically and torsionally and, consequently, the solution has two components. We show… read more here.
Keywords: damped systems; partially damped; behavior partially; time behavior ... See more keywords
Improved FRF Measurements of Lightly Damped Systems Using Local Rational Models
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2018.2800958
Abstract: Lightly damped systems exhibit strong resonances which should be accurately characterized to prevent potential harmful damage in real-world applications. Characterizing these resonances using frequency response function (FRF) measurements is challenging due to long transient behavior… read more here.
Keywords: damped systems; improved frf; frf measurements; measurements lightly ... See more keywords