Key Takeaways & Executive Findings
- •• An adjustable stiffness internal support is designed and validated to control longitudinal vibration of elastic rods over a wide frequency band. • The stiffness coefficients of the support can be effectively controlled, enabling variable stiffness vibration control. • Experiments confirm that the adjustable support restricts longitudinal vibration within a wide frequency band, demonstrating the existence of an adjustable working region. • The study provides practical insights for applying variable stiffness vibration control theory to elastic rods in engineering applications.
Abstract
In engineering practice, there are many factors causing the vibration to which rods are usually subjected. Generally, the vibration of elastic rods motivated by determined vibration excitations can be controlled effectively. However, the working frequency of vibration excitation may vary due to environmental changes, the working conditions of equipment, and other factors. Consequently, it remains a challenge to restrict the longitudinal vibration of elastic rods within a wide frequency band. In order to meet the relevant engineering requirements and address the existing limitations, the longitudinal vibration control of an elastic rod within a wide frequency band is explored in this study through an adjustable stiffness internal support. To achieve this purpose, the variable stiffness longitudinal vibration control theory of the elastic rod is validated. The model of an adjustable stiffness internal support is designed, constructed, and tested, demonstrating that the stiffness coefficients of the adjustable stiffness internal support can be effectively controlled. Through the adjustable stiffness internal support, the experiment on longitudinal vibration control of the elastic rod is designed and performed. It leads to the conclusion that the adjustable stiffness internal support within the adjustable working region is effective in restricting the longitudinal vibration within a wide frequency band of the elastic rod. Furthermore, the existence of the adjustable working region in the experiment demonstrates the effectiveness of the adjustable stiffness internal support intended for the variable stiffness longitudinal vibration control of an elastic rod. To sum up, this study provides insights into an adjustable stiffness mechanism for applying the theory of variable stiffness longitudinal vibration control on an elastic rod in engineering practice.
1. Introduction
As one of the building blocks used in engineering works, rods are widely applied in various settings, including ocean engineering, nuclear industry, and construction. In many engineering works, rods are often subjected to vibration caused by various factors. There are some engineering structures that can be simplified as rods for the analysis of their longitudinal vibration, including shafting systems, boring bar systems, and fuel rods. To ensure structural safety, it is essential to reduce the vibration of rods to an acceptable level. In this sense, exploring the vibration characteristics of rods plays a crucial role in restricting their vibration.
Over the past two decades, there has been plenty of attention paid by scholars to investigating the vibration characteristics of elastic rods [1–5]. By applying different rod theories, Mei [6] comparatively studied the four-rod theories of elastic rods, contributing to the application of the rod model in engineering works. Alati et al. [7] explored the vibration characteristics of elastic rods by installing viscous damping devices in the elastic rods and conducting modal analysis. De Santis et al. [8] carried out a numerical study on the assembly vibration of the rod, with the vibration driven by turbulent axial flows. Through the non-local elasticity theory, Babaei et al. [9, 10] analyzed the free and forced vibration characteristics of elastic rods. Santo et al. [11] studied the multi-mode dynamic behavior of the elastic rod by installing nonlinear springs into it. Popov and Sadovsky [12] compared multiple theoretical models of the longitudinal vibrating rod with the experimental results, revealing that improving the theoretical model can enhance the consistency with experimental data. Furthermore, in a special engineering work, Kim et al. [13] studied the vibration characteristics of fuel rods applied as part of the pressurized water reactor. On the basis of large-eddy simulation, Christon et al. [14] investigated the fretting v
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Xinhui Shen, Chi Yu, Rongshen Guo, Yuhao Zhao, Mingfei Chen, Haijian Cui (2025). Controlling the Longitudinal Vibration of an Elastic Rod within a Wide Frequency Band by Utilizing an Adjustable Stiffness Internal Support. Chinese Journal of Mechanical Engineering. https://doi.org/10.1186/s10033-025-01253-3
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Frequently Asked Questions
What is the main objective of this study?
The main objective is to control the longitudinal vibration of an elastic rod within a wide frequency band using an adjustable stiffness internal support.
How does the adjustable stiffness internal support work?
The support is designed with adjustable stiffness coefficients that can be effectively controlled, allowing the support to adapt to varying excitation frequencies and suppress vibration over a wide band.
What are the key findings of the experiments?
The experiments demonstrate that the adjustable stiffness internal support is effective in restricting longitudinal vibration within a wide frequency band, and the existence of an adjustable working region confirms its effectiveness.
What is the significance of this research for engineering practice?
This research provides a practical mechanism for applying variable stiffness vibration control theory to elastic rods, which is relevant in fields like ocean engineering, nuclear industry, and construction where rods are subjected to varying vibration excitations.
What are the potential applications of this technology?
Potential applications include shafting systems, boring bar systems, fuel rods, and other engineering structures that can be simplified as elastic rods and require vibration control over a wide frequency range.
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