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中文摘要：
通过Matlab软件合成了不同初相位、不同阻尼且相互垂直振动的复杂空间图形,二维平面投影图形象、直观地显示了阻尼和初相位对图形的影响。得出结论：初相位影响振动合成图形的形状,阻尼则影响其振幅的大小,且阻尼参数大于零时,振幅随着参数的增大而减小。最后,从数学的观点,分析了Lissajous图形的对称性。当wx∶wy=奇数∶奇数时,关于原点对称;wx∶wy=奇数∶偶数时,关于偶数轴对称。
英文摘要：
By using Matlab, this paper obtained the complicated compositional figures of various initial phase, damping and orthogonality vibrations. The two - dimensional projection figures can be intuitively display the influence of damping and initial phase. The conclusion： the in it ia l phase affects on figure shape, but the damping affects on amplitude. If the damping factors is greater than zero, the amplitude decreases with the damping factor increase. At last, from the point of view of mathematics, the paper analyzed the symmetry of Lissajous figures. When the frequency ratio = odd ： odd, the figure is symmetrical about the origin. At the same time, when the frequency ratio = odd ： even, the figure is symmetrical about the even axis.
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