物理学报2011，Vol.60Issue(3)：354-360,7.
一种超材料梁对机械波振动吸收的模拟研究
Simulation of a metamaterial beam for mechanical wave absorption
摘要
Abstract
In this paper, we present a metamaterial beam consisting of a uniform isotropic beam with many small mass-spring systems serving as mechanical wave absorbers. Based on the analysis of two different mass-spring systems, negative effective mass and negative effective stiffness are explained theoretically. The governing equations of a unit cell of a metamaterial beam are derived using the Hamilton' s principle. The mechanical wave absorbabilities of the following two different finite metamaterial beams are analyzed by numerical simulation:one is the bean in which mass-spring systems with linearly varying elastic coefficients are uniformly distributed, and the other is the bean in which four identical absorber subgroups composed of spring-damper subsystems with linearly varying natural frequeneiesare uniformly distributed. The results reveal that the mechanical wave transmitted in the metamaterial beam is absorbed by resonating with spring-mass absorbers, which verifies the effectivity of the proposed metamaterial beam on mechanical wave absorption.关键词
超材料梁/负有效质量/负有效刚度/机械波Key words
metamaterial beam/ negative effective mass/ negative effective stiffness/ mechanical wave引用本文复制引用
林国昌,孙宏伟,谭惠丰,杜星文..一种超材料梁对机械波振动吸收的模拟研究[J].物理学报,2011,60(3):354-360,7.基金项目
国家高技术研究发展计划(批准号:2008AA12A205)资助的课题. （批准号:2008AA12A205）
