Types of Two-Dimensional Pendulums and Their Uses in Education
Types of Two-Dimensional Pendulums and Their Uses in Education
复制标题
DOI：
10.1023/b:sced.0000041830.98845.5f
复制
发表时间：
2004-07
影响因子：
--
通讯作者：
R. J. Whitaker
中科院分区：
文献类型：
--
作者：
R. J. Whitaker
同时在二维空间摆动并能记录其运动的钟摆被称为“和声表”。他们画的曲线也被称为“鲍迪奇曲线”或“利萨曲线”。多年来，人们发明了各种设计的风琴。这些可能是一个“y悬挂”的“简单”钟摆，或者它们可能是一个复杂的“物理”钟摆系统。和声机被用作物理（或数学）的演示装置，或作为欣赏曲线美学的“艺术”机器。
Pendulums which swing in two dimensions simultaneously and aredesigned to leave a record of their motion are termed `harmonographs'.The curves which they draw are known, alternatively, as `Bowditchcurves' or `Lissajous curves'. A variety of designs of harmonographshave been invented over the years. These may be a `Y-suspended'`simple' pendulum, or they may be a complex `physical' pendulumsystem. Harmonographs have been built as demonstration apparatusin physics (or mathematics) or as `art' machines for enjoying theaesthetics of the curves produced.