The purpose of this study was to analyze the impact of blades with slots in a rotary compressor. The equations for contact forces were derived from Newton’s law. Updated moving Lagrangian descriptions with the hybrid technique and the Newark time integration method were used to determine the nodal displacement vectors. The finite element method was used to analyze the contact forces and the stresses of blades. The maximum blade contact force of 2.3 KN was larger than the maximum static force of 1 KN. The maximum blade impact Von Mises stress of 12.3 Mpa that occurred at the contact point was greater than the previous calculated static stress of 5.15 Mpa. Hence, the impact effect was significant. Experimental modal analysis was also used to determine the first and second natural frequencies of blades.

1.
Fukuta
,
M.
,
1994
, “
Vane Behavior in Vane Compressors under Start-up Operation,” (2nd Report, Vane Behavior with Pressure Rise in Back Chamber), Nippon Kikai Gakkai Ronbunshu, B Hen
,
Trans. Jpn. Soc. Mech. Eng., Ser. B
,
60
, No.
571
, pp.
879
884
.
2.
Fukuta
,
M.
,
Yanagisawa
,
T.
,
Shimizu
,
T.
, and
Suzuki
,
Y.
,
1995
, “
Mathematical-Model of Van-Compressors for Computer-Simulation of Automotive Air-Conditioning Cycle
,”
JSME Int. J., Ser. B
,
38
, No.
2
, pp.
199
205
.
3.
Gorrepati
,
K. M.
,
1996
, “
Analysis of Modal Parameters of Adhesively Bonded Double-Strap Joints by The Modal Strain Energy Method
,”
ASME J. Vibr. Acoust.
,
118
, No.
1
, pp.
28
35
.
4.
Ooi
,
K. T.
, and
Wong
,
T. N.
,
1997
, “
A Computer Simulation of a Rotary Compressor for Household Refrigerators
,”
Appl. Therm. Eng.
,
17
, No.
1
, pp.
65
78
.
5.
Huang, Yuan Mao, and Chiu, Y. F. 1998, “Performance and Dynamics of a Rotary Compressor with a Composite Stator Inner Contour,” ASME FEDSM 98-4856, pp. 1–8.
6.
Padovan
,
J.
,
Tovichakchaikul
,
S.
, and
Zeid
,
I.
,
1984
, “
Finite Element Analysis of Steadily Moving Contact Fields
,”
Comput. Struct.
,
18
, No.
2
, pp.
191
200
.
7.
Fukuta
,
M.
,
1993
, “
Vane Behavior in Vane Compressors under Start-up Operation,” (1st Report, Force Acting on Vane), Nippon Kikai Gakkai Ronbunshu, B Hen
,
Trans. Jpn. Soc. Mech. Eng., Ser. B
,
59
, No.
567
, pp.
3487
3492
.
8.
Amirouche
,
F. M. L.
,
1993
, “
Finite Element Modeling of Contact Conditions in Multibody System Dynamics
,”
Nonlinear Dyn.
,
4
, No.
1
, pp.
83
102
.
9.
Sisir, K. P., 1993, “On the Dynamics of a Rotary Compressor: Part 1-Mathematical Modeling,” ASME Advances in Design Automation, DE-Vol. 65-1, 1, pp. 207–216.
10.
Malone
,
J. G.
,
1994
, “
Parallel Finite Element Contact/Impact Algorithm for Non-linear Explicit Transient Analysis: Part 1-The Search Algorithm And Contact
,”
Int. J. Numer. Methods Eng.
,
37
, No.
4
, pp.
559
590
.
11.
Choi
,
Chang-Koon
,
1996
, “
Gap Element for Three-Dimensional Elasto-Plastic Contact Problems
,”
Comput. Struct.
,
61
, No.
6
, pp.
1155
1167
.
12.
Huang
,
Yuan Mao
, and
Chang
,
Chii-how
,
1997
, “
The Stress and Deflection Analysis for the Radial Blades of the RCAC System
,”
Int. J. Refrig.
,
20
, No.
1
, pp.
55
62
.
13.
Simo
,
J. C.
,
Wriggers
,
P.
,
Schweizerhof
,
K. H.
, and
Taylor
,
R. L.
,
1986
, “
Finite Deformation Post-Buckling Analysis Involving Inelasticity and Contact Problems
,”
Int. J. Numer. Methods Eng.
,
23
, pp.
779
800
.
14.
Nour-Omid
,
B.
, and
Wriggers
,
P.
,
1986
, “
A Two-Level Iteration Method for Solution of Contact Problems
,”
Comput. Methods Appl. Mech. Eng.
,
54
, pp.
131
144
.
15.
Auricchio
,
F.
,
1996
, “
Augmented Lagrangian Finite-Element for Plate Contact Problems
,”
Int. J. Numer. Methods Eng.
,
39
, No.
24
, pp.
4141
4158
.
16.
Kahyai
,
S.
,
Niazy
,
A-S. M.
, and
Weingarten
,
V. I.
,
1993
, “
A Hybrid Technique for Generalized Contact Problems
,”
Cosmos/m Advanced Modules
,
4
, Part
1
, pp.
73
86
.
17.
Huang
,
Yuan Mao
,
1995
, “
Analysis of the Rotor-Cooler Air-Conditioning System
,”
Int. J. Refrig.
,
18
, No.
6
, pp.
367
372
.
18.
Huebner, K. H., 1995, “Basic Equation from Linear Elasticity Theory, The Finite Element Method for Engineers,” John Wiley & Sons, Inc., Appendix C, pp. 561–577.
19.
Morfey
,
C. L.
, and
Koopmann
,
G. H.
,
1982
, “
Theory of Acoustics (I)
,”
Noise and Vibration
,
1
, pp.
25
41
.
20.
Knothe
,
K. L.
,
1993
, “
Modeling of Railway Track and Vehicle/Track Interaction at High Frequencies
,”
Veh. Syst. Dyn.
,
22
, No.
3–4
, pp.
209
262
.
You do not currently have access to this content.