Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation

The Stewart platform based bumper is essential for the strap-down inertial navigation system (SINS) to attenuate the vibration excitation from base to SINS. Displacement transmissibility is the most important performance indicator to quantify the vibration isolation effectiveness of the bumper. In t...

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Main Authors: Yongqiang Tu, Haoran Zhang, Hao Wu, Yintao Li, Baohua Bao, Gang Lu, Hongwei Lin, Xinkai Chen, Jianyu Fan
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/11/3434
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author Yongqiang Tu
Haoran Zhang
Hao Wu
Yintao Li
Baohua Bao
Gang Lu
Hongwei Lin
Xinkai Chen
Jianyu Fan
author_facet Yongqiang Tu
Haoran Zhang
Hao Wu
Yintao Li
Baohua Bao
Gang Lu
Hongwei Lin
Xinkai Chen
Jianyu Fan
author_sort Yongqiang Tu
collection DOAJ
description The Stewart platform based bumper is essential for the strap-down inertial navigation system (SINS) to attenuate the vibration excitation from base to SINS. Displacement transmissibility is the most important performance indicator to quantify the vibration isolation effectiveness of the bumper. In this paper, considering the structural complexity and dynamic coupling of the bumper in parallel mechanism shape, a novel method of displacement transmissibility analysis for the bumper under base vibration excitation is proposed. Firstly, a lumped parameter model is established for the bumper by defining dynamic matrices, which includes stiffness matrix, damping matrix and mass matrix. Secondly, coupled dynamic equations of the bumper under base vibration excitation are derived based on the proposed model, and the coupled dynamic equations are transferred to decoupled dynamic equations by decoupling method. Thirdly, a calculation flowchart of the vibration isolation performance for the bumper is proposed based on the deduced decoupled dynamic equations, and theoretical results for displacement transmissibility are obtained by the calculation flowchart. Finally, the proposed analysis approach of displacement transmissibility for the bumper is validated by vibration experiments as the maximum quantitative gap between theoretical and experimental results is 3.6%.
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publisher MDPI AG
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series Sensors
spelling doaj-art-8f65994f6c364f8f9b6aae912d2a43d82025-08-20T03:11:32ZengMDPI AGSensors1424-82202025-05-012511343410.3390/s25113434Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration ExcitationYongqiang Tu0Haoran Zhang1Hao Wu2Yintao Li3Baohua Bao4Gang Lu5Hongwei Lin6Xinkai Chen7Jianyu Fan8College of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaCollege of Marine Equipment and Mechanical Engineering, Jimei University, Xiamen 361021, ChinaThe Stewart platform based bumper is essential for the strap-down inertial navigation system (SINS) to attenuate the vibration excitation from base to SINS. Displacement transmissibility is the most important performance indicator to quantify the vibration isolation effectiveness of the bumper. In this paper, considering the structural complexity and dynamic coupling of the bumper in parallel mechanism shape, a novel method of displacement transmissibility analysis for the bumper under base vibration excitation is proposed. Firstly, a lumped parameter model is established for the bumper by defining dynamic matrices, which includes stiffness matrix, damping matrix and mass matrix. Secondly, coupled dynamic equations of the bumper under base vibration excitation are derived based on the proposed model, and the coupled dynamic equations are transferred to decoupled dynamic equations by decoupling method. Thirdly, a calculation flowchart of the vibration isolation performance for the bumper is proposed based on the deduced decoupled dynamic equations, and theoretical results for displacement transmissibility are obtained by the calculation flowchart. Finally, the proposed analysis approach of displacement transmissibility for the bumper is validated by vibration experiments as the maximum quantitative gap between theoretical and experimental results is 3.6%.https://www.mdpi.com/1424-8220/25/11/3434displacement transmissibilityvibration isolationStewart platformbumperstrap-down inertial navigation system
spellingShingle Yongqiang Tu
Haoran Zhang
Hao Wu
Yintao Li
Baohua Bao
Gang Lu
Hongwei Lin
Xinkai Chen
Jianyu Fan
Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
Sensors
displacement transmissibility
vibration isolation
Stewart platform
bumper
strap-down inertial navigation system
title Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
title_full Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
title_fullStr Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
title_full_unstemmed Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
title_short Displacement Transmissibility Analysis of Stewart Platform Based SINS’s Bumper Under Base Vibration Excitation
title_sort displacement transmissibility analysis of stewart platform based sins s bumper under base vibration excitation
topic displacement transmissibility
vibration isolation
Stewart platform
bumper
strap-down inertial navigation system
url https://www.mdpi.com/1424-8220/25/11/3434
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