Principal developments in band saw vibration and stability research

This paper reviews fundamental investigations of band saw vibration and stability. The literature is spread out in journals and reports in a variety of languages, and consklerable duplication of effort exists. It is this diffusion of references which makes a review necessary. The authors have reviewed all pertinent papers known to them, and apologize to both authors and readers for significant work that is missing. It should be noted that a critical review such as this is necessarily tinged by the authors' interpretation of what is fundamental knowledge in a particular field. The review has been limited to topics of direct, ftmdamental importance to band saw vibration and stability. Topics in which vibration is not the main consideration, such as tooth design, power requirements, fatigue cracking, etc., are not explicitly discussed here. Band saw vibration belongs to a class of vibration problems, called axially moving material vibrations, first investigated by Rudolf Skutch [1897]. This class contains research on magnetic and paper tape vibrations [Miranker 1960], moving belt dynamics [Chubachi 1957, 1958 ; Doyle, Hornung 1969; Rhodes 1970; Lai, Chen 1971], chain drive vibrations [Mahalhlgam 1957], vibration of pipes transporting fhlids [Housner 1952; Niordson 1953; Naguleswaran, Williams 1968b: Thurman, Mote 1969b; Liu, Mote 1974: and many others], moving strings and fibers [Sack 1954; Archibald, Emslie 1958: Swope, Ames 1963: and others], cables and catenaries [Simpson 1972], and of course band saw vibrations. The problems listed above are analogous as a first approximation, because the linearized equation of motion and boundary con-

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