Title
Basic Response Functions Of Simple Inertoelastic And Inertoviscous Models
Abstract
Motivated by the growing interest in suppressing vibrations with supplemental rotational inertia, this paper examines and constructs the basic frequency-response functions and subsequently derives the corresponding causal time-response functions of elementary mechanical networks that involve the inerter, a two-node element in which the force-output is proportional to the relative acceleration of its end-nodes. This is achieved by extending the relationship between the causality of a time-response function and the analyticity of its corresponding frequency-response function to the case of generalized functions. This paper shows that all frequency-response functions that exhibit singularities along the real frequency axis need to be enhanced with the addition of a Dirac delta function or with its derivative, depending on the strength of the singularity. It is shown that because of the inerter, some basic time-response functions exhibit causal oscillatory response, in contrast to the decaying exponentials that originate from dashpots. Most importantly, the inerter emerges as an attractive response-modification element because in some cases it absorbs the singular response of the solitary spring or dashpot.
Publication Date
1-1-2017
Publication Title
Journal of Engineering Mechanics
Volume
143
Issue
11
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1061/(ASCE)EM.1943-7889.0001348
Copyright Status
Unknown
Socpus ID
85028009224 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85028009224
STARS Citation
Makris, Nicos, "Basic Response Functions Of Simple Inertoelastic And Inertoviscous Models" (2017). Scopus Export 2015-2019. 4857.
https://stars.library.ucf.edu/scopus2015/4857