Study on Repeated-Root Modes in Substructure Modal Composition Analysis

The dynamic properties of disc rotor play important role in the noise, vibration, harshness (NVH) performance of a disc brake system. Disc rotor in general is a centrosymmetric structure. It has many repeated-root modes within the interested frequency range and they may have significant influence on squeal occurrence. A pair of repeated-root modes is in nature one vibration mode. However, in current complex eigenvalue analysis model and relevant analysis methods, repeated-root modes are processed separately. This may lead to contradictory result. This paper presents methods to deal with repeated-root modes in substructure modal composition (SMC) analysis to avoid the contradiction. Through curve-fitting technique, the modal shape coefficients of repeated-root modes are expressed in an identical formula. This formula is used in SMC analysis to obtain an integrated SMC value to represent the total influence of two repeated-root modes. Finally the presented method is applied to analysis a high frequency squeal problem of a disc brake. SMC analysis results are given, where each pair of repeated-roots have one unique SMC. The impacts of these modes on squeal can be clearly examined.

• Record URL:
  • https://doi.org/10.4271/2016-01-0477
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/19463995
• Supplemental Notes:
  • Abstract reprinted with permission of SAE International.
• Authors:
  • Gao, Pu
  • Du, Yongchang
  • Wang, Yujian
  • Lv, Yingping
• Conference:
  • SAE 2016 World Congress and Exhibition
  • Location: Detroit Michigan, United States
  • Date: 2016-4-12 to 2016-4-14
• Publication Date: 2016-4-5

Language

• English

Media Info

• Media Type: Web
• Features: References;
• Pagination: pp 160-166
• Serial:
  • SAE International Journal of Passenger Cars - Mechanical Systems
  • Volume: 9
  • Issue Number: 1
  • Publisher: SAE International
  • ISSN: 1946-3995
  • EISSN: 1946-4002
  • Serial URL: https://www.sae.org/publications/collections/content/E-JOURNAL-06/

Subject/Index Terms

• TRT Terms: Disc brakes; Mathematical analysis; Modal analysis; Noise; Vibration
• Subject Areas: Highways; Passenger Transportation; Vehicles and Equipment;

Filing Info

• Accession Number: 01833275
• Record Type: Publication
• Source Agency: SAE International
• Report/Paper Numbers: 2016-01-0477
• Files: TRIS, SAE
• Created Date: Jan 21 2022 11:43AM