Driven nonlinear systems have attracted great interest owing to their applications in quantum technologies such as quantum information. In quantum information, entanglement is a vital resource and can be measured by entropy in bipartite systems. In this paper, we carry out an investigation to study the impact of driving frequency on the entanglement with a bipartite system of two coupled driven nonlinear oscillators. It is numerically found that the time evolution of the entanglement entropy between the subsystems significantly depends on the driving frequency. The dependence curve of the entropy production on the driving frequency exhibits a pronounced peak. This means the entanglement between the subsystems can be greatly increased by tuning the driving frequency. Further analyses show that the enhancement of the entropy production by the driving frequency is closely related to the energy levels involved in the quantum evolution. This is confirmed by the results related to the quantum spectrum and the dispersion of the wave function in the phase space. Our work gives a convenient way to enhance the entanglement in driven nonlinear systems and throws light on the role of driven nonlinear systems in quantum information technologies.

Transmission tower guy wires are critical flexible tension members ensuring the stability and safe operation of overhead power transmission networks. However, these components are vulnerable to external impacts from falling rocks, ice masses, and other natural hazards, which can cause excessive deformation, anchorage loosening, and catastrophic failure. Current design standards primarily consider static loads, lacking comprehensive models for predicting dynamic impact responses. This study presents a theoretical model for predicting the peak impact response of guy wires by modeling the impact process as a point mass impacting a nonlinear spring system. Using an energy-based elastic potential method combined with cable theory, analytical solutions for axial force, displacement, and peak impact force are derived. Newton–Cotes numerical integration solves the implicit function to obtain closed-form solutions for efficient prediction. Validated through finite element simulations, deviations of peak displacement, peak impact force, and peak axial force between theoretical and numerical results are within ±4%, ±18%, and ±4%, respectively. Using the validated model, parametric studies show that increasing the inclination angle from 15° to 55° slightly reduces peak displacement by 2–4%, impact force by 1–13%, and axial force by 1–10%. Higher prestress (100–300 MPa) decreases displacement and impact force but increases axial force. Longer lengths (15–55 m) cause linear displacement growth and nonlinear force reduction. Impacts near anchorage points help control displacement risks, and impact velocity generally has a more significant influence on response characteristics than impactor mass. This model provides a scientific basis for impact-resistant design of power grid infrastructure and guidance for optimizing de-icing strategies, enhancing transmission system safety and reliability.

In power transmission systems, conductor vibration may cause periodic variations in the axial load carried by composite suspension insulator strings. Such axial-load variations may induce parametric vibration, affecting the mechanical reliability of transmission lines and the safe operation of transmission networks. This study examines how excitation frequency and amplitude affect the parametric response of a reference core-rod model for an FXBZ-500/300 composite suspension insulator. The core rod is modeled as a uniform Euler–Bernoulli beam, and the resulting eigenvalue problem is solved numerically. Its lateral restraint is calculated from published conductor data and stated support assumptions. A first-mode Galerkin reduction shows that the fluctuating axial load modulates the system stiffness through a time-varying geometric-stiffness term. The resulting undamped equation takes the Mathieu form, with the primary instability region centered near $f_{\Omega }=2f_1$. At exact resonance, the linearized damped model predicts a damping-dependent load-amplitude threshold. The first six natural frequencies predicted by the analytical beam model differ by less than $0.7\%$ from those obtained from the prestressed finite-element model, indicating numerical consistency between the two idealized beam models. For the prescribed small initial disturbance, the tested cases show decay below this threshold and bounded finite-amplitude first-mode oscillations above it. As the dynamic-load amplitude increases, the calculated midpoint-displacement amplitude increases and the response peak shifts to a higher excitation frequency, consistent with stretching-induced hardening under the fixed-end-separation reference assumption. Within the adopted model, these results identify combinations of axial-load frequency and amplitude that produce pronounced core-rod vibration. Their relevance to an operating line depends on a sustained axial-load component near $2f_1$ being transmitted to the string.

The dependence of decoherence on chirp is investigated in an open one-dimensional chirped-driven anharmonic oscillator. The latter is perturbed by an Ohmic environment and the decoherence of the system is measured by the linear entropy. The entropy growth is found to be significantly dependent on the value of the chirp. Especially, the curve of the entropy growth versus the chirp value has a remarkable peak, near which the decoherence of the is greatly amplified. Further analyses shows that the enhancement of the entropy growth by the chirp is closely related to the influences of the chirped drive on the energy levels participating in the quantum evolution. This can be confirmed by the correspondence between the chirp dependence of the entropy growth, the quantum spectrum and the classical squared amplitude.