Dynamic response of clamped sandwich beams: analytical modeling

Lang Li; Bin Han; Qian-Cheng Zhang; Zhen-Yu Zhao; Tian Jian Lu

Theoretical and Applied Mechanics Letters (Nov 2019)

Dynamic response of clamped sandwich beams: analytical modeling

Lang Li,
Bin Han,
Qian-Cheng Zhang,
Zhen-Yu Zhao,
Tian Jian Lu

Affiliations

Lang Li: State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China; State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Bin Han: School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China; School of Engineering, Brown University, Providence, RI 02912, USA; Research Institute of Xi'an Jiaotong University, Hangzhou 311215, China; Corresponding author
Qian-Cheng Zhang: State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China; Key Laboratory of Intense Dynamic Loading and Effect, Xi'an 710024, China
Zhen-Yu Zhao: State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Nanjing Center for Multifunctional Lightweight Materials and Structures (MLMS), Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Tian Jian Lu: State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Nanjing Center for Multifunctional Lightweight Materials and Structures (MLMS), Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; Corresponding author

Journal volume & issue: Vol. 9, no. 6
pp. 391 – 396

Abstract

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An improved analytical model is developed to predict the dynamic response of clamped lightweight sandwich beams with cellular cores subjected to shock loading over the entire span. The clamped face sheets are simplified as a single-degree-of-freedom (SDOF) system, and the core is idealized using the rigid-perfectly-plastic-locking (RPPL) model. Reflection of incident shock wave is considered by incorporating the bending/stretching resistance of the front face sheet and compaction of the core. The model is validated with existing analytical predictions and FE simulation results, with good agreement achieved. Compared with existing analytical models, the proposed model exhibits superiority in two aspects: the deformation resistance of front face sheet during shock wave reflection is taken into account; the effect of pulse shape is considered. The practical application range of the proposed model is therefore wider. Keywords: Sandwich beam, Cellular core, Shock loading, Analytical model

Published in Theoretical and Applied Mechanics Letters

ISSN: 2095-0349 (Print)
Publisher: Elsevier
Country of publisher: China
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/theoretical-and-applied-mechanics-letters/

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