Abstract

With the large-scale and complexity of ship propulsion shafting, it is more difficult to analyze and control the torsional vibration of shafting. Therefore, an effective control method for the torsional vibration of shafting is of great significance in the field of ship engineering. The main strategy of torsional vibration control adopted in this paper is to keep the natural frequency of a shaft system away from the excitation frequency through structural modifications. In addition, because the basic parameters of much of the equipment in engineering applications cannot be changed, this restriction cannot be ignored when seeking solutions related to structural modifications. This paper studies the partial eigenvalue assignment for the torsional vibration control of complex ship propulsion shafting using the gradient flow method, which can shift a “dangerous” natural frequency to a safe value, while satisfying complex physical constraints. The models of a ship propulsion system and a diesel generator set are established to demonstrate several different desired modification schemes and constraint conditions in practice. In particular, close frequencies are shifted. The numerical simulation results demonstrate that it is effective and feasible to make a partial frequency assignment of torsional vibration, which provides a reliable approach for the control of torsional vibration for complex shaft systems in practical engineering.

Highlights

  • In recent years, with the improvement of ship power and the widespread use of large-scale and complex shafting systems, the vibration problem of shafting systems becomes more and more serious.The torsional vibration of a shafting system is one of the main causes of shafting fracture and other faults, which has attracted wide attention

  • Obtained from the Gradient Flow Method

  • In practical applications, some modifications of the actual shafting systems are limited by many physical constraints

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Summary

Introduction

With the improvement of ship power and the widespread use of large-scale and complex shafting systems, the vibration problem of shafting systems becomes more and more serious. Liu et al presented the strategy for the torsional vibration control of shaft systems based on the measured torsional receptances of the system [20] All of these above approaches can effectively change some natural frequencies of a structure to targeted values. Considering the low cost and maintenance required for system stability, it is expected to achieve a partial eigenvalues (or natural frequencies) assignment, depending on passive control or passive structural modification This is a far more difficult task and challenge; as a result, few research papers have been introduced to solve this problem. A simplified model of a “real” marine diesel engine propulsion system and a complex branched shaft system of a diesel generator set for torsional vibration control are investigated to achieve the partial assignment of natural frequencies.

The Problem Description
Construction of a Real Smmetric Matrix Js with All Expected Eigenvalues
The Gradient Flow Method
The Mass and Stiffness Matrix after Modification
The Model Setup
Desired Modifications under Two Different Operating Conditions
Results Obtained from the Gradient Flow Method
Torsional Vibration Control and Analysis of a Diesel Generator Set
Conclusions
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