A partitioned combined computational method for multi-scale dynamic systems

Peng Yuan, Sondipon Adhikari, You Dong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


A partitioned/combined computational method based on Newmark scheme is proposed to analyze dynamic systems with different temporal scales and element scales. To effectively filter spurious high-frequency vibration content and retain the second-order accuracy simultaneously, Generalized-α schemes are investigated and incorporated into the proposed method. The proposed method can decompose a complete domain into several independent computational subdomains (≥3), and several independent substructures can be combined into a complete computational structure. The accuracy and stability of responses in different subdomains can be ensured and adjusted by using their own integration parameters and time-step sizes. The energy conservation property is preserved in the proposed method. Only one calculation is performed at each time step for all subdomains, and computational information exchange between subdomains is only conducted at the system time step, therefore, the computational efficiency is improved significantly compared with the existing multi-time-step methods. The derivation process and theoretical demonstration of the proposed method are given in detail. Two representative examples, namely, a single degree of freedom system split into four subdomains and a sandwich beam subjected to high-frequency impact loads, are studied to systematically demonstrate the proposed method's accuracy, energy properties, and efficiency compared with the existing multi-time-step methods.

Original languageEnglish
Pages (from-to)3494-3523
Number of pages30
JournalInternational Journal for Numerical Methods in Engineering
Issue number16
Publication statusPublished - 30 Aug 2023


  • desirable algorithmic damping
  • energy conservation
  • multiple temporal and element scales
  • partitioned/combined computation
  • stability and accuracy

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


Dive into the research topics of 'A partitioned combined computational method for multi-scale dynamic systems'. Together they form a unique fingerprint.

Cite this