OPTIMAL-DESIGN OF A ROTATING-DISK FOR KINETIC-ENERGY STORAGE

被引:11
作者
BERGER, M
PORAT, I
机构
[1] Faculty of Mechanical Engineering, Technion-lsrael Institute of Technology, Haifa, Israel
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1988年 / 55卷 / 01期
关键词
Kinetic energy - Kinetics - Speed - Optimal systems;
D O I
10.1115/1.3173623
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A thin homogeneous rotating disk of variable thickness is considered for the purpose of storing kinetic energy. The objective of the design is to find the optimal shape of the disk for which, in the presence of constraints on the geometry and strength of the disk, the Specific Kinetic Energy (SKE) is maximal. An upper bound for the SKE of a finite diameter disk is derived and a discrete formulation is presented by which an approximate optimal prof He for arbitrary design parameters and rotational speeds can be obtained numerically. Applying a parametric study in which optimal designs for a sequence of rotational speeds are observed, a general configuration of the exact optimal prof He is presented. The parametric study reveals the existence of three speed intervals, each characterized by a common type of optimal design. The optimal SKE corresponding to the ultimate rotational speed reaches a value very close to the theoretical upper bound, namely twice that of a thin ring. The model gives insight into the nature of optimal designs and serves as a simple and rapid computational tool for finding the optimal profile for arbitrary disk parameters and rotational speeds. © 1988 by ASME.
引用
收藏
页码:164 / 170
页数:7
相关论文
共 18 条
[1]   OPTIMUM-SHAPE DESIGN OF ROTATING-DISKS [J].
BHAVIKATTI, SS ;
RAMAKRISHNAN, CV .
COMPUTERS & STRUCTURES, 1980, 11 (05) :397-401
[2]  
Biezeno C., 1954, ENG DYNAMICS, VIII
[3]  
Chern J. M., 1970, J OPTIMIZATION THEOR, V6, P161
[4]  
COPPA AP, 1983, UCRL15566 GEN EL CO
[5]  
CURTIS DM, 1977, ASME77DET112 PAP
[6]  
DANN RI, 1973, MACHINE DESIGN MAY, P130
[7]  
DAVIS D, 1980, 15TH P INT EN CONV E, P1507
[8]  
DISTEFANO N, 1972, JOTA, V10, P109
[9]  
Gill P. E., 1974, NUMERICAL METHODS CO
[10]  
HODSON DR, 1978, RIRD78207 ROCKW INT