Topic
Restoring force
About: Restoring force is a research topic. Over the lifetime, 4109 publications have been published within this topic receiving 49359 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: An improved way of estimating the local tangent in the nudged elastic band method for finding minimum energy paths is presented, and examples given where a complementary method, the dimer method, is used to efficiently converge to the saddle point.
Abstract: An improved way of estimating the local tangent in the nudged elastic band method for finding minimum energy paths is presented. In systems where the force along the minimum energy path is large compared to the restoring force perpendicular to the path and when many images of the system are included in the elastic band, kinks can develop and prevent the band from converging to the minimum energy path. We show how the kinks arise and present an improved way of estimating the local tangent which solves the problem. The task of finding an accurate energy and configuration for the saddle point is also discussed and examples given where a complementary method, the dimer method, is used to efficiently converge to the saddle point. Both methods only require the first derivative of the energy and can, therefore, easily be applied in plane wave based density-functional theory calculations. Examples are given from studies of the exchange diffusion mechanism in a Si crystal, Al addimer formation on the Al(100) surfa...
8,535 citations
TL;DR: In this paper, a comprehensive assessment of recent developments of nonlinear isolators in the absence of active control means is presented, which highlights resolved and unresolved problems and recommendations for future research directions.
1,071 citations
TL;DR: In this article, a single-degree of freedom non-linear oscillator is considered and the nonlinearity is in the restoring force and is piecewise linear with a single change in slope.
892 citations
Book•
1 Jan 1950
TL;DR: In this article, the authors studied the stability of nonlinear oscillations with nonlinear restoring forces free oscillations and nonlinear self-sustained oscillations using the Hill's equation.
Abstract: Linear vibrations free vibrations of undamped systems with nonlinear restoring forces free oscillations with damping and the geometry of integral curves forced oscillations of systems with nonlinear restoring force self-sustained oscillations Hill's equation and its application to the study of the stability of nonlinear oscillations.
891 citations
TL;DR: A review of the past, recent developments and implementations of the Bouc-Wen model which is used extensively in modeling the hysteresis phenomenon in the dynamically excited nonlinear structures can be found in this paper.
Abstract: Structural systems often show nonlinear behavior under severe excitations generated by natural hazards. In that condition, the restoring force becomes highly nonlinear showing significant hysteresis. The hereditary nature of this nonlinear restoring force indicates that the force cannot be described as a function of the instantaneous displacement and velocity. Accordingly, many hysteretic restoring force models were developed to include the time dependent nature using a set of differential equations. This survey contains a review of the past, recent developments and implementations of the Bouc-Wen model which is used extensively in modeling the hysteresis phenomenon in the dynamically excited nonlinear structures.
727 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 16 |
| 2024 | 32 |
| 2023 | 49 |
| 2022 | 91 |
| 2021 | 132 |
| 2020 | 143 |