The current paper discusses the optimum parameter setting of asymmetric high-static low-dynamic stiffness (HSLDS) suspensions to reduce vibrations of a high-speed symmetric rotary system, excited by an unbalance force. The rotating system consists of a shaft that is supported by tilting pad journal bearings on the asymmetric HSLDS suspensions. The Reynolds equation is solved numerically to obtain the oil pressure distribution for each pad of bearing. With the aim of calculating the hydrodynamic forces applied to each pad, an analytical approach is presented. Its results are validated using a numerical integration approach. Given the considerable difference between the shaft mass and pads moment of inertia, the mathematical equations governing the motions of disk, journal, bearing and pads are solved implementing a routine specified for stiff ordinary differential equations in MATLAB. The optimum parameters of HSLDS suspensions are obtained, using a multi-objective genetic algorithm. Design objectives are considered to minimize the vibrations of rotor, journal, and bearing and bearing force transmission to the external supports. The efficiency of optimum HSLDS suspensions in reducing the vibrations of journal, bearing and rotor within the operating speed range is shown. The high performance of the designed suspensions in decreasing the bearings force transmission is proved as well. In addition, the design robustness to uncertainties in HSLDS suspensions parameters is studied.

本文讨论了非对称高静力低动力刚度（HSLDS）悬架的最佳参数设置，以减少由不平衡力激发的高速对称旋转系统的振动。旋转系统由一个轴组成，该轴由不对称HSLDS悬架上的倾斜轴颈轴承支撑。对雷诺方程进行数值求解，以获得每个轴承瓦块的油压分布。为了计算施加到每个垫上的流体动力，提出了一种分析方法。使用数值积分方法验证了其结果。考虑到轴质量和轴瓦惯性矩之间的巨大差异，用于控制磁盘，轴颈，通过在MATLAB中为刚性常微分方程指定一个例程来解决轴承和轴瓦问题。使用多目标遗传算法获得了HSLDS悬浮液的最佳参数。设计目标被认为是最大程度地减少了转子，轴颈以及轴承和轴承力传递到外部支架的振动。显示了最佳HSLDS悬架在工作速度范围内减少轴颈，轴承和转子振动的效率。还证明了所设计的悬架在减小轴承力传递方面的高性能。此外，研究了HSLDS悬架参数不确定性的设计鲁棒性。设计目标被认为是最大程度地减少了转子，轴颈以及轴承和轴承力传递到外部支架的振动。显示了最佳HSLDS悬架在工作速度范围内减少轴颈，轴承和转子振动的效率。还证明了所设计的悬架在减小轴承力传递方面的高性能。此外，研究了HSLDS悬架参数不确定性的设计鲁棒性。设计目标被认为是最大程度地减少了转子，轴颈以及轴承和轴承力传递到外部支架的振动。显示了最佳HSLDS悬架在工作速度范围内减少轴颈，轴承和转子振动的效率。还证明了所设计的悬架在减小轴承力传递方面的高性能。此外，研究了HSLDS悬架参数不确定性的设计鲁棒性。还证明了所设计的悬架在减小轴承力传递方面的高性能。此外，研究了HSLDS悬架参数不确定性的设计鲁棒性。还证明了所设计的悬架在减小轴承力传递方面的高性能。此外，研究了HSLDS悬架参数不确定性的设计鲁棒性。