Experimental continuation in nonlinear dynamics: recent advances and future challenges
Experimental continuation encompasses a set of methods that combine control and
continuation to obtain the full bifurcation diagram of a nonlinear system experimentally …
continuation to obtain the full bifurcation diagram of a nonlinear system experimentally …
Harmonic BalanceMethods: A Review and Recent Developments
The harmonic balance (HB) method is one of the most commonly used methods for solving
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …
How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models
Invariant manifolds are important constructs for the quantitative and qualitative
understanding of nonlinear phenomena in dynamical systems. In nonlinear damped …
understanding of nonlinear phenomena in dynamical systems. In nonlinear damped …
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically …
The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting
The dynamic vibration absorber (DVA) can effectively suppress undesirable vibration of a
host structure, and the energy harvester is also proven to be a feasible way to collect …
host structure, and the energy harvester is also proven to be a feasible way to collect …
[HTML][HTML] Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions
Highly accurate simulations of complex phenomena governed by partial differential
equations (PDEs) typically require intrusive methods and entail expensive computational …
equations (PDEs) typically require intrusive methods and entail expensive computational …
Compliant quasi-zero-stiffness isolator for low-frequency torsional vibration isolation
The structures of traditional torsional quasi-zero-stiffness (QZS) vibration isolators are too
complicated to achieve the desired vibration isolation performance as theoretically …
complicated to achieve the desired vibration isolation performance as theoretically …
Effect of dam** nonlinearity on the dynamics and performance of a quasi-zero-stiffness vibration isolator
Abstract Quasi-zero-stiffness (QZS) vibration isolators that take advantage of stiffness
nonlinearity are commonly studied with linear dam** elements. This paper concerns the …
nonlinearity are commonly studied with linear dam** elements. This paper concerns the …
[HTML][HTML] Fluid inerter for optimal vibration control of floating offshore wind turbine towers
This paper proposes the use of a tuned mass damper fluid-inerter (TMDFI) for vibration
control of spar-type floating offshore wind turbine towers. The use of an inerter in parallel …
control of spar-type floating offshore wind turbine towers. The use of an inerter in parallel …
Inverted resonance capture cascade: modal interactions of a nonlinear energy sink with softening stiffness
Nonlinear energy sinks (NESs) are broadband passive vibration absorbers that are
nonlinearly connected to a host system. If an NES is attached to a multi-degree-of-freedom …
nonlinearly connected to a host system. If an NES is attached to a multi-degree-of-freedom …