A novel shape function approach of dynamic load identification for the structures with interval uncertainty

Jie Liu, Xingsheng Sun, Xianghua Meng, Kun Li, Guang Zeng, Xianyi Wang

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


Aiming at uncertain structures, a computational inverse approach is proposed to identify the dynamic load on the basis of the shape function method and interval analysis. The forward model for an uncertain structure is established through the relationship between the uncertain load vector and the assembly matrix of the uncertain responses of the shape function loads in each discrete element in time domain. The uncertainty is characterized by the interval with a closed bounded set of uncertain parameters. On the basis of interval analysis method, the load identification for uncertain structures can be transformed into two kinds of deterministic inverse problems, namely the deterministic dynamic load identification and the first order derivatives of the unknown load to each parameter both at the midpoints of the uncertain parameters. In order to eliminate the ill-posedness of inversion, the regularization method is adopted to solve the deterministic equations. Two numerical examples demonstrates the effectiveness of the proposed method, and example one also gives the identified result using Monte Carlo method to compare with that using the proposed method.

Original languageEnglish
Pages (from-to)375-386
Number of pages12
JournalInternational Journal of Mechanics and Materials in Design
Issue number3
StatePublished - Sep 1 2016

Bibliographical note

Funding Information:
This work is supported by the State Key Laboratory of Construction Machinery (SKLCM2014-5), the Specialized Research Fund for the Doctoral Program of Higher Education (20120161120003), and the National Natural Science Foundation of China (11202076).

Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.


  • Interval analysis
  • Inverse problem
  • Load identification
  • Regularization
  • Shape function method
  • Uncertainty

ASJC Scopus subject areas

  • Materials Science (all)
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'A novel shape function approach of dynamic load identification for the structures with interval uncertainty'. Together they form a unique fingerprint.

Cite this