Piston Simulation Function
The Piston Simulation function models the circular motion of a piston within a cylinder. It involves a chain of nonlinear functions.
The response C is cycle time (the time it takes to complete one cycle), in seconds.
Input Domain:The input variables and their usual input ranges are:
|M ∈ [30, 60]||piston weight (kg)|
|S ∈ [0.005, 0.020]||piston surface area (m2)|
|V0 ∈ [0.002, 0.010]||initial gas volume (m3)|
|k ∈ [1000, 5000]||spring coefficient (N/m)|
|P0 ∈ [90000, 110000]||atmospheric pressure (N/m2)|
|Ta ∈ [290, 296]||ambient temperature (K)|
|T0 ∈ [340, 360]||filling gas temperature (K)|
Modifications and Alternative Forms:For the purpose of input variable screening, Moon (2010) adds 13 input variables.
Ben-Ari, E. N., & Steinberg, D. M. (2007). Modeling data from computer experiments: an empirical comparison of kriging with MARS and projection pursuit regression. Quality Engineering, 19(4), 327-338.
Kenett, R., & Zacks, S. (1998). Modern industrial statistics: design and control of quality and reliability. Pacific Grove, CA: Duxbury press.
Moon, H. (2010). Design and Analysis of Computer Experiments for Screening Input Variables (Doctoral dissertation, Ohio State University).
Moon, H., Dean, A. M., & Santner, T. J. (2012). Two-stage sensitivity-based group screening in computer experiments. Technometrics, 54(4), 376-387.
For questions or comments, please email Derek Bingham at: email@example.com.