1. Department of Reliability Science Research, Mechanical Engineering Research Center, Hitachi Research Laboratory, Hitachi, Ltd., 832-2 Horiguchi, Hitachinaka, Ibaraki 312-0034, Japan e-mail:
2. Department of Turbo Machinery Research, Research & Development Center, Mitsubishi Hitachi Power Systems, Ltd., 832-2 Horiguchi, Hitachinaka, Ibaraki, 312-0034, Japan e-mail: