From CAM Design Handbook
13.6 USE OF THE CONVOLUTION OPERATOR TO REDUCE RESIDUAL VIBRATIONS
This section presents a systematic method of using the convolution operator to generate cam lift curves that minimize the residual vibration after a lift event of given displacement and duration. The method is a mathematical transformation that can be applied to any suitable motion to produce families of cam profiles of increasing continuity. For example, starting with a uniform rise curve, one sequence of modifications leads to a family of curves whose members include parabolic and various nonelementary rise curves. Another sequence starting with a simple harmonic rise curve leads to a family whose members include cycloidal and various nonelementary rise curves. An alternate application of this approach enables us to design cam curves that produce extremely low residual vibration over a range of operating speeds. This method was originated by Gupta and Wiederrich (1983).
a = cam curve acceleration
a*( ?) = acceleration curve for any lift curve with unit rise and unit rise angle
A = Fourier transform of a
A*( ?) = Fourier transform of a*( ?)
d = cam rise
k = ? n/ ?
R = amplitude of the residual vibrations induced by the rise curve
v = cam curve velocity
v*( ?) = velocity curve for any lift curve with unit rise and unit rise angle
V = Fourier transform of v
Products & Services
Topics of Interest
13.7 POLYDYNE CAMS Introduction In polydyne cams the cam profile is designed such that the follower lift curve matches a desired polynomial equation at the desired design speed given the...
Handling Procedure: Investment casting molds in a "cup up" orientation are gripped and picked from an incoming cart, the molds are then transferred away from the cart and filled with water for leak...
6.10 Sintering Furnaces Sintering furnaces may be classified as batch-type or continuous furnaces. They have invariably gastight furnace shell or gastight muffle to maintain a reducing atmosphere.
40.1 Introduction and Cross-References This chapter brings together three topics that support the processing of metals and alloys, namely: the design of metallurgical furnaces, vacuum technology and...
More than 40 years ago, Sonic Corporation introduced multiple-feed capabilities to its highly successful Sonolator homogenization systems. Through the use of these capabilities and techniques, our...