What is the effect of nonlinearities on the dynamics of a rotating beam with nes?
Best insight from top research papers
Nonlinearities have a significant effect on the dynamics of a rotating beam with a nonlinear energy sink (NES) . The performance of the NES in mitigating vibration of the rotating beam is influenced by the occurrence range of strongly modulated responses (SMR) in the system . The position and damping of the NES, as well as the magnitude of the external force, also affect the vibration mitigation of the rotating beam . Additionally, the nonlinearities in the beam, such as the circumferentially asymmetric stiffness lamination scheme and higher order piezoceramic constitutive relation, can be effectively controlled using a saturation adaptive control strategy . The control strategy proves to be robust and effective in suppressing vibrations in both non-rotating and rotating structures .
Answers from top 4 papers
More filters
| Papers (4) | Insight |
|---|---|
| The provided paper does not mention the effect of nonlinearities on the dynamics of a rotating beam with nes. | |
| The paper investigates the effect of nonlinearities on the dynamics of a rotating beam with a nonlinear energy sink (NES). | |
| The provided paper does not mention the effect of nonlinearities on the dynamics of a rotating beam with nes. | |
1 Citations | The paper does not specifically mention the effect of nonlinearities on the dynamics of a rotating beam with nes. The term "nonlinearities" is not mentioned in the paper. |
Related Questions
What is the role of nonlinear fractional order systems in modeling the dynamics of neural networks?5 answersNonlinear fractional-order systems play a crucial role in modeling the dynamics of neural networks by offering rich and complex dynamical properties influenced by system parameters, commensurate, incommensurate, and variable orders. These systems exhibit chaotic behavior and synchronization, showing the impact of higher-order interactions on network synchronization. Additionally, fractional-order neural models demonstrate a variety of complex dynamics, including chaos, even with constant external stimuli. Furthermore, the estimation of states in fractional-order dynamical networks is addressed, showing exponential stability in state estimation for neurophysiological networks, aiding in the development of novel neurotechnologies. Finally, a variable-order fractional neural network model is studied, showcasing chaotic behavior, control techniques with finite-time estimators, and applications in data security, emphasizing the effectiveness of these systems in real-world applications.
How the chaos helps in study of nonlinear dynamics?5 answersChaos is a fundamental concept in the study of nonlinear dynamics. It helps in understanding the consequences of nonlinearity accurately and finding patterns in dynamics. Chaos theory has been applied in various fields such as psychology, cognitive neuroscience, and organizational behavior to analyze complex systems and their behavior. The concept of chaos is used to describe the balance between order and disorder within a system, and it has been found that healthy systems exhibit higher levels of chaos compared to unhealthy ones. Chaos also plays a role in the study of multidimensional Hamiltonian systems, where it is investigated how chaos evolves in the presence of nonlinearity and disorder. Overall, chaos provides insights into the behavior of nonlinear systems and helps in understanding their complex dynamics.
How do nonlinear effects affect the behavior of water waves?5 answersNonlinear effects have a significant impact on the behavior of water waves. In deep water, a novel mathematical nonlinear theory ensures uniqueness of the solution and accounts for nonlinearity, resulting in solutions that are valid at all times. This theory reveals previously unknown patterns in wave evolution and confirms them with experimental results. In shallow water, the presence of odd viscosity induces nonlinear effects in surface waves, leading to the formation of compact two-dimensional solitary waves. Nonlinearity also affects extreme events in directional focused and random wave simulations, resulting in increased crest width despite decreased maximum crest elevations. Nonlinear wave focusing, originating from modulation instability, can lead to the formation of strong wave localizations on the water surface, even in broadband or directional wave fields. These findings highlight the importance of considering nonlinear effects in understanding and predicting the behavior of water waves.
What are some examples of how rotational dynamics has been applied to biomechanics?5 answersRotational dynamics has been applied to biomechanics in various ways. One example is the study of tree biomechanics, specifically the dynamic response of open-grown trees in urban areas. Researchers have used dynamic methods of analysis to understand the dynamics of branches on trees and how the form and morphology of the tree can influence its dynamics. Another example is the application of biomechanical principles to the prevention of pelvic organ prolapse in women. Biomechanics is used to enhance the understanding of prolapse development and prevention, including the role of physical activity during pregnancy and optimal pelvic floor muscle exercises. Additionally, rotational dynamics has been used in the modeling of biological soft tissue deformations for computer-assisted surgical applications. A methodology called the Mesh-Matching method has been developed to generate patient-specific finite element models based on the behavior of soft tissues.
What are some examples of rotational dynamics in biomechanics?5 answersRotational dynamics in biomechanics can be seen in the study of human motion. The use of rotational symplectic geometry allows for the formulation of a generalized Hamiltonian formalism on the configuration manifold consisting of rotational Lie groups. This approach incorporates conservative, dissipative, and driving forces, as well as spinal reflex-like servo controls. By reducing the angular configuration manifold, topological brain-like control and subsequent topological analysis can be achieved. This application of rotational dynamics in biomechanics provides insights into the complex movements and control mechanisms involved in human motion.
How can the nonlinear dynamics of an inverted pendulum be used to control the motion of the pendulum?5 answersThe motion of an inverted pendulum can be controlled by utilizing the nonlinear dynamics of the system. Different controllers such as PI, PD, and PID have been used to balance the pendulum and achieve desired results in terms of the position of the cart and the angle of the pendulum. In the case of an unmanned aerial vehicle with an inverted pendulum, the length of the pendulum may not be known a priori. In such cases, a concurrent learning adaptive controller can be used to estimate the length of the pendulum and ensure controllability of the system. Additionally, fuzzy control rules and genetic algorithms have been employed to design a fuzzy controller for stabilizing the inverted pendulum system. The closed-loop PID control and the use of a discrete-time FIR filter have also been explored to balance the pendulum system and filter out noise effects.