Mode-based equivalent multi-degree-of-freedom system for one-dimensional viscoelastic response analysis of layered soil deposit

Li Chong, Yuan Juyun, Yu Haitao, Yuan Yong

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Discrete models such as the lumped parameter model and the finite element model are widely used in the solution of soil amplification of earthquakes. However, neither of the models will accurately estimate the natural frequencies of soil deposit, nor simulate a damping of frequency independence. This research develops a new discrete model for one-dimensional viscoelastic response analysis of layered soil deposit based on the mode equivalence method. The new discrete model is a one-dimensional equivalent multi-degree-of-freedom (MDOF) system characterized by a series of concentrated masses, springs and dashpots with a special configuration. The dynamic response of the equivalent MDOF system is analytically derived and the physical parameters are formulated in terms of modal properties. The equivalent MDOF system is verified through a comparison of amplification functions with the available theoretical solutions. The appropriate number of degrees of freedom (DOFs) in the equivalent MDOF system is estimated. A comparative study of the equivalent MDOF system with the existing discrete models is performed. It is shown that the proposed equivalent MDOF system can exactly present the natural frequencies and the hysteretic damping of soil deposits and provide more accurate results with fewer DOFs.

Original languageEnglish
Pages (from-to)103-124
Number of pages22
JournalEarthquake Engineering and Engineering Vibration
Volume17
Issue number1
DOIs
StatePublished - Jan 2018
Externally publishedYes

Keywords

  • Amplification
  • Ground response analysis
  • Layered soil
  • MDOF system
  • Modal properties
  • Mode equivalence
  • Viscoelastic

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