CN112762123A - Two-degree-of-freedom quasi-zero-rigidity low-frequency vibration isolation device - Google Patents
Two-degree-of-freedom quasi-zero-rigidity low-frequency vibration isolation device Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及低频隔振技术领域,尤其是一种两自由度准零刚度低频隔振装置。The invention relates to the technical field of low-frequency vibration isolation, in particular to a low-frequency vibration isolation device with two degrees of freedom quasi-zero stiffness.
背景技术Background technique
振动是自然界中普遍存在的一种物理现象,尤其在日常生活和工业生产中振动无处不在。在一些情况下,振动会给我们的科学研究和生产活动带来一定的危害。传统的线性隔振器面临着承载能力和隔振效果之间的矛盾,而准零刚度隔振系统作为一种新兴的非线性低频隔振技术,改变了线性系统隔振的传统观念。准零刚度隔振系统由正负刚度结构并联而成,不但具有足够大的静刚度支撑被隔振设备,稳定性好,而且在平衡位置附近动刚度较小,系统固有频率降低,低频隔振性能好。因此,准零刚度隔振系统很好地兼顾了稳定性和隔振性能之间的矛盾。Vibration is a ubiquitous physical phenomenon in nature, especially in daily life and industrial production. In some cases, vibration will bring certain harm to our scientific research and production activities. The traditional linear vibration isolator is faced with the contradiction between the bearing capacity and the vibration isolation effect, while the quasi-zero stiffness vibration isolation system, as an emerging nonlinear low-frequency vibration isolation technology, has changed the traditional concept of vibration isolation of the linear system. The quasi-zero stiffness vibration isolation system is composed of positive and negative stiffness structures in parallel. It not only has sufficient static stiffness to support the vibration-isolated equipment, and has good stability, but also has small dynamic stiffness near the equilibrium position, which reduces the natural frequency of the system and reduces low-frequency vibration isolation. Good performance. Therefore, the quasi-zero stiffness vibration isolation system takes into account the contradiction between stability and vibration isolation performance.
单自由度准零刚度隔振系统在低频阶段能实现良好隔振,在中、高频阶段,其隔振性能与线性隔振系统相当。科学技术迅猛发展,精密机械、舰载设备以及高速车辆等对隔振系统的性能要求越来越高,传统的线性隔振系统、单自由度准零刚度隔振系统已经很难满足各行各业日益增长的需求。The single-degree-of-freedom quasi-zero stiffness vibration isolation system can achieve good vibration isolation in the low frequency stage, and its vibration isolation performance is comparable to that of the linear vibration isolation system in the medium and high frequency stages. With the rapid development of science and technology, the performance requirements of precision machinery, shipborne equipment and high-speed vehicles are getting higher and higher. Traditional linear vibration isolation systems and single-degree-of-freedom quasi-zero stiffness vibration isolation systems have been difficult to meet all walks of life. growing demand.
发明内容SUMMARY OF THE INVENTION
本申请人针对上述现有生产技术中的缺点,提供一种两自由度准零刚度低频隔振装置,不仅能减小系统的起始隔振频率,增宽隔振频带宽,而且在特定的频率区域内,隔振性能优于单自由度准零刚度隔振系统。Aiming at the shortcomings of the above-mentioned existing production technology, the applicant provides a low-frequency vibration isolation device with two degrees of freedom quasi-zero stiffness, which can not only reduce the initial vibration isolation frequency of the system, widen the vibration isolation frequency bandwidth, but also provide a low-frequency vibration isolation device with two degrees of freedom. In the frequency region, the vibration isolation performance is better than that of the single-degree-of-freedom quasi-zero stiffness vibration isolation system.
本发明所采用的技术方案如下:一种两自由度准零刚度低频隔振装置,包括基座、上层准零刚度隔振器、下层准零刚度隔振器、支撑平板、中间质量块、两个上层水平移动机构、两个下层水平移动机构和垂向移动机构,支撑平板水平布置在中间质量块的上方,支撑平板用来放置被隔振体;The technical scheme adopted by the present invention is as follows: a two-degree-of-freedom quasi-zero stiffness low-frequency vibration isolator, comprising a base, an upper-layer quasi-zero stiffness vibration isolator, a lower-layer quasi-zero stiffness vibration isolator, a support plate, a middle mass block, two An upper horizontal moving mechanism, two lower horizontal moving mechanisms and a vertical moving mechanism, the support plate is horizontally arranged above the middle mass block, and the support plate is used to place the vibration isolator;
上层准零刚度隔振器包括上层非线性弹簧、上层非线性弹簧外导套和上层垂向平面弹簧,上层垂向平面弹簧的上下两端分别垂直固定在支撑平板和中间质量块上,上层非线性弹簧限位在上层非线性弹簧外导套中并可沿上层非线性弹簧外导套的套长方向作限位伸缩移动,上层非线性弹簧为两个且对称分布在支撑平板的两侧,上层非线性弹簧的一端和支撑平板的侧面相连,上层非线性弹簧的另一端和上层水平移动机构相连实现水平可移动调节,上层水平移动机构安装在基座上,垂向移动机构安装在基座上,垂向移动机构带动支撑平板实现上下移动调节;The upper-layer quasi-zero stiffness vibration isolator includes the upper-layer nonlinear spring, the upper-layer nonlinear spring outer guide sleeve and the upper-layer vertical plane spring. The linear spring is limited in the outer guide sleeve of the upper nonlinear spring and can be extended and retracted along the sleeve length direction of the upper nonlinear spring outer guide sleeve. There are two upper nonlinear springs and are symmetrically distributed on both sides of the supporting plate. One end of the upper layer nonlinear spring is connected to the side of the supporting plate, and the other end of the upper layer nonlinear spring is connected to the upper layer horizontal moving mechanism to realize horizontal movable adjustment. The upper horizontal moving mechanism is installed on the base, and the vertical moving mechanism is installed on the base. up, the vertical movement mechanism drives the support plate to achieve up and down movement adjustment;
下层准零刚度隔振器包括下层非线性弹簧、下层非线性弹簧外导套和下层垂向平面弹簧,下层垂向平面弹簧的上下两端分别垂直固定在中间质量块和基座上,下层非线性弹簧限位在下层非线性弹簧外导套中并可沿下层非线性弹簧外导套的套长方向作限位伸缩移动,下层非线性弹簧为两个且对称分布在中间质量块的两侧,下层非线性弹簧的一端和中间质量块相连,下层非线性弹簧的另一端和下层水平移动机构相连实现水平可移动调节,下层水平移动机构安装在基座上。The lower layer quasi-zero stiffness vibration isolator includes the lower layer nonlinear spring, the lower layer nonlinear spring outer guide bush and the lower layer vertical plane spring. The upper and lower ends of the lower layer vertical plane spring are vertically fixed on the middle mass block and the base, respectively. The linear spring is limited in the outer guide sleeve of the lower nonlinear spring and can be moved along the sleeve length direction of the lower nonlinear spring outer guide sleeve. There are two lower nonlinear springs and are symmetrically distributed on both sides of the middle mass block. , one end of the lower nonlinear spring is connected with the middle mass block, and the other end of the lower nonlinear spring is connected with the lower horizontal moving mechanism to realize horizontal movable adjustment, and the lower horizontal moving mechanism is installed on the base.
作为上述技术方案的进一步改进:As a further improvement of the above technical solution:
所述上层准零刚度隔振器包括上层竖直阻尼,上层竖直阻尼的上下两端分别垂直固定在支撑平板和中间质量块上。The upper-layer quasi-zero stiffness vibration isolator includes an upper-layer vertical damper, and the upper and lower ends of the upper-layer vertical damper are respectively vertically fixed on the support plate and the intermediate mass block.
所述上层准零刚度隔振器包括上层横向阻尼,上层横向阻尼为两个且对称分布在支撑平板的两侧,上层横向阻尼的一端和支撑平板的侧面相连,上层横向阻尼的另一端和上层水平移动机构相连。The upper-layer quasi-zero stiffness vibration isolator includes upper-layer transverse damping, two upper-layer transverse dampers are symmetrically distributed on both sides of the supporting plate, one end of the upper-layer transverse damping is connected to the side of the supporting plate, and the other end of the upper-layer transverse damping is connected to the upper layer. The horizontal movement mechanism is connected.
所述下层准零刚度隔振器包括下层竖直阻尼,下层竖直阻尼的上下两端分别垂直固定在中间质量块和基座上。The lower-layer quasi-zero stiffness vibration isolator includes a lower-layer vertical damper, and the upper and lower ends of the lower-layer vertical damper are respectively vertically fixed on the middle mass block and the base.
所述下层准零刚度隔振器包括下层横向阻尼,下层横向阻尼为两个且对称分布在支撑平板的两侧,下层横向阻尼的一端和中间质量块的侧面相连,下层横向阻尼的另一端和下层水平移动机构相连。The lower-layer quasi-zero stiffness vibration isolator includes a lower-layer transverse damper, two lower-layer transverse dampers are symmetrically distributed on both sides of the supporting plate, one end of the lower-layer transverse damper is connected to the side of the intermediate mass block, and the other end of the lower-layer transverse damper is connected to the side of the intermediate mass block. The lower level horizontal moving mechanism is connected.
所述基座包括底座以及立式固定在底座上的两个平行相对侧板,两个侧板的上端分别向内悬伸有水平布置的固定板,下层垂向平面弹簧和下层竖直阻尼的下端分别固定在底座上,垂向移动机构为螺钉一,垂向移动机构为两个且分别安装在两个固定板上,垂向移动机构立式布置,两个垂向移动机构的下端对称抵靠在支撑平板的上板面的两边缘。The base includes a base and two parallel opposite side plates vertically fixed on the base. The upper ends of the two side plates are respectively suspended with horizontally arranged fixing plates, and the lower vertical plane spring and the lower vertical damping The lower ends are respectively fixed on the base, the vertical moving mechanism is one screw, the vertical moving mechanism is two and are respectively installed on two fixed plates, the vertical moving mechanism is arranged vertically, and the lower ends of the two vertical moving mechanisms are symmetrically abutted. against the two edges of the upper surface of the support plate.
所述上层水平移动机构包括螺钉二、上层垂直滑板和上层横向导轨,上层横向导轨安装在固定板的下板面,上层垂直滑板的上端和上层横向导轨构成横向滑动配合,上层横向阻尼的另一端、上层非线性弹簧的另一端分别固定在上层垂直滑板的一侧板面上,螺钉二安装在基座的侧板上,螺钉二的端部抵靠在上层垂直滑板的另一侧板面上。The upper-layer horizontal moving mechanism includes two screws, an upper-layer vertical slide plate and an upper-layer lateral guide rail. The upper-layer lateral guide rail is installed on the lower plate surface of the fixed plate. , The other end of the upper non-linear spring is respectively fixed on one side of the upper vertical slide plate, the second screw is installed on the side plate of the base, and the end of the second screw is against the other side of the upper vertical slide plate. .
所述下层水平移动机构包括螺钉三、下层垂直滑板和下层横向导轨,下层横向导轨安装在基座的底座上,下层垂直滑板的下端和下层横向导轨构成横向滑动配合,下层横向阻尼的另一端、下层非线性弹簧的另一端分别固定在下层垂直滑板的一侧板面上,螺钉三安装在基座的侧板上,螺钉三的端部抵靠在下层垂直滑板的另一侧板面上。The lower horizontal moving mechanism includes
所述上层非线性弹簧外导套为圆管状且圆管的两端设有端盖,上层非线性弹簧的两端分别自圆管两端的端盖自由穿过。The upper non-linear spring outer guide sleeve is in the shape of a circular tube, and both ends of the circular tube are provided with end caps, and the two ends of the upper non-linear spring respectively freely pass through the end caps at both ends of the circular tube.
所述下层非线性弹簧外导套的结构和上层非线性弹簧外导套的结构相同。The structure of the lower layer nonlinear spring outer guide sleeve is the same as that of the upper layer nonlinear spring outer guide sleeve.
本发明的有益效果如下:将被隔振体放置于支撑平板的上表面时,上层垂向平面弹簧与下层垂向平面弹簧都会被压缩,可以通过旋拧螺钉二、螺钉三,使得上层非线性弹簧和下层非线性弹簧处于水平位置。如果被隔振体的质量发生改变时,通过调节垂向移动机构,从而使整个隔振系统重新回到平衡状态。通过选择合适的系统的结构参数和力学参数,结合使用水平移动机构与垂向移动机构,使得系统的刚度为零。当被隔振体在平衡位置附近振动时,系统的固有频率较低,承载能力较大。因此,该隔振系统可以实现低频减振的目标,不仅能减小系统的起始隔振频率,增宽隔振频带宽,而且在特定的频率区域内,隔振性能优于单自由度准零刚度隔振系统。The beneficial effects of the present invention are as follows: when the vibration isolator is placed on the upper surface of the supporting plate, both the upper vertical plane spring and the lower vertical plane spring will be compressed, and the upper layer can be made nonlinear by screwing the second and third screws. The spring and the underlying nonlinear spring are in a horizontal position. If the mass of the vibration isolator changes, by adjusting the vertical movement mechanism, the entire vibration isolation system can return to the equilibrium state. By selecting the appropriate structural parameters and mechanical parameters of the system, and using the horizontal moving mechanism and the vertical moving mechanism in combination, the stiffness of the system is zero. When the vibration isolator vibrates near the equilibrium position, the natural frequency of the system is low and the bearing capacity is large. Therefore, the vibration isolation system can achieve the goal of low-frequency vibration reduction, not only can reduce the initial vibration isolation frequency of the system, broaden the vibration isolation frequency bandwidth, but also in a specific frequency region, the vibration isolation performance is better than that of a single degree of freedom. Zero stiffness vibration isolation system.
附图说明Description of drawings
图1是未加被隔振体时的本发明的结构示意图。FIG. 1 is a schematic structural diagram of the present invention when no vibration isolator is added.
图2为本发明使用时的结构示意图;Fig. 2 is the structural representation when the present invention is used;
图3为本发明上层垂向平面弹簧的截面图;Fig. 3 is the sectional view of the upper vertical plane spring of the present invention;
图4为上层准零刚度隔振器的竖直阻尼比不同的工况下,两自由度系统与单自由度系统的力传递率曲线对比图;Figure 4 is a comparison diagram of the force transmissibility curves of the two-degree-of-freedom system and the single-degree-of-freedom system under different vertical damping ratios of the upper-layer quasi-zero stiffness vibration isolator;
图5为下层垂向平面弹簧与上层垂向平面弹簧的刚度之比不同的工况下,两自由度系统与单自由度系统的力传递率曲线比较图;Figure 5 is a comparison diagram of the force transmissibility curves of the two-degree-of-freedom system and the single-degree-of-freedom system under the working conditions where the ratio of the stiffness of the lower vertical plane spring to the upper vertical plane spring is different;
图6为中间质量块与被隔振体的质量之比不同的工况下,两自由度系统与单自由度系统的力传递率曲线对比图。Fig. 6 is a comparison diagram of the force transmissibility curves of the two-DOF system and the single-DOF system under different working conditions with the mass ratio of the intermediate mass block to the vibration-isolated body.
其中:1、基座;2、下层垂向平面弹簧;3、下层竖直阻尼;4、下层横向导轨;5、下层非线性弹簧;6、下层垂直滑板;7、螺钉三;8、下层非线性弹簧外导套;9、中间质量块;10、下层横向阻尼;11、上层垂向平面弹簧;12、上层竖直阻尼;13、螺钉二;14、上层非线性弹簧外导套;15、上层非线性弹簧;16、上层垂直滑板;17、上层横向阻尼;18、上层横向导轨;19、固定板;20、支撑平板;21、垂向移动机构;22、被隔振体。Among them: 1. Base; 2. Lower vertical plane spring; 3. Lower vertical damping; 4. Lower lateral guide; 5. Lower nonlinear spring; 6. Lower vertical sliding plate; 7. Screw three; 8. Lower non-linear spring Linear spring outer guide sleeve; 9. Intermediate mass block; 10. Lower lateral damping; 11. Upper vertical plane spring; 12. Upper vertical damping; 13. Screw two; 14. Upper nonlinear spring outer guide sleeve; 15. Upper layer non-linear spring; 16. Upper layer vertical sliding plate; 17, Upper layer lateral damping; 18, Upper layer lateral guide rail; 19, Fixed plate; 20, Support plate; 21, Vertical moving mechanism;
具体实施方式Detailed ways
下面结合附图,说明本发明的具体实施方式。The specific embodiments of the present invention will be described below with reference to the accompanying drawings.
如图1-6所示,本实施例的两自由度准零刚度低频隔振装置,包括基座1、上层准零刚度隔振器、下层准零刚度隔振器、支撑平板20、中间质量块9、两个上层水平移动机构、两个下层水平移动机构和垂向移动机构21,支撑平板20水平布置在中间质量块9的上方,支撑平板20用来放置被隔振体22;As shown in Figures 1-6, the two-degree-of-freedom quasi-zero stiffness low-frequency vibration isolation device of this embodiment includes a
上层准零刚度隔振器包括上层非线性弹簧15、上层非线性弹簧外导套14和上层垂向平面弹簧11,上层垂向平面弹簧11的上下两端分别垂直固定在支撑平板20和中间质量块9上,上层非线性弹簧15限位在上层非线性弹簧外导套14中并可沿上层非线性弹簧外导套14的套长方向作限位伸缩移动,上层非线性弹簧15为两个且对称分布在支撑平板20的两侧,上层非线性弹簧15的一端和支撑平板20的侧面相连,上层非线性弹簧15的另一端和上层水平移动机构相连实现水平可移动调节,上层水平移动机构安装在基座1上,垂向移动机构21安装在基座1上,垂向移动机构21带动支撑平板20实现上下移动调节;The upper layer quasi-zero stiffness vibration isolator includes the upper layer
下层准零刚度隔振器包括下层非线性弹簧5、下层非线性弹簧外导套8和下层垂向平面弹簧2,下层垂向平面弹簧2的上下两端分别垂直固定在中间质量块9和基座1上,下层非线性弹簧5限位在下层非线性弹簧外导套8中并可沿下层非线性弹簧外导套8的套长方向作限位伸缩移动,下层非线性弹簧5为两个且对称分布在中间质量块9的两侧,下层非线性弹簧5的一端和中间质量块9相连,下层非线性弹簧5的另一端和下层水平移动机构相连实现水平可移动调节,下层水平移动机构安装在基座1上。The lower layer quasi-zero stiffness vibration isolator includes the lower layer
上层准零刚度隔振器包括上层竖直阻尼12,上层竖直阻尼12的上下两端分别垂直固定在支撑平板20和中间质量块9上。The upper-layer quasi-zero stiffness vibration isolator includes an upper-layer
上层准零刚度隔振器包括上层横向阻尼17,上层横向阻尼17为两个且对称分布在支撑平板20的两侧,上层横向阻尼17的一端和支撑平板20的侧面相连,上层横向阻尼17的另一端和上层水平移动机构相连。The upper-layer quasi-zero stiffness vibration isolator includes an upper-layer
下层准零刚度隔振器包括下层竖直阻尼3,下层竖直阻尼3的上下两端分别垂直固定在中间质量块9和基座1上。The lower-layer quasi-zero stiffness vibration isolator includes a lower-layer
下层准零刚度隔振器包括下层横向阻尼10,下层横向阻尼10为两个且对称分布在支撑平板20的两侧,下层横向阻尼10的一端和中间质量块9的侧面相连,下层横向阻尼10的另一端和下层水平移动机构相连。The lower-layer quasi-zero stiffness vibration isolator includes a lower-layer
基座1包括底座以及立式固定在底座上的两个平行相对侧板,两个侧板的上端分别向内悬伸有水平布置的固定板19,下层垂向平面弹簧2和下层竖直阻尼3的下端分别固定在底座上,垂向移动机构21为螺钉一,垂向移动机构21为两个且分别安装在两个固定板19上,垂向移动机构21立式布置,两个垂向移动机构21的下端对称抵靠在支撑平板20的上板面的两边缘。The
上层水平移动机构包括螺钉二13、上层垂直滑板16和上层横向导轨18,上层横向导轨18安装在固定板19的下板面,上层垂直滑板16的上端和上层横向导轨18构成横向滑动配合,上层横向阻尼17的另一端、上层非线性弹簧15的另一端分别固定在上层垂直滑板16的一侧板面上,螺钉二13安装在基座1的侧板上,螺钉二13的端部抵靠在上层垂直滑板16的另一侧板面上。The upper horizontal moving mechanism includes two
下层水平移动机构包括螺钉三7、下层垂直滑板6和下层横向导轨4,下层横向导轨4安装在基座1的底座上,下层垂直滑板6的下端和下层横向导轨4构成横向滑动配合,下层横向阻尼10的另一端、下层非线性弹簧5的另一端分别固定在下层垂直滑板6的一侧板面上,螺钉三7安装在基座1的侧板上,螺钉三7的端部抵靠在下层垂直滑板6的另一侧板面上。The lower horizontal moving mechanism includes
上层非线性弹簧外导套14为圆管状且圆管的两端设有端盖,上层非线性弹簧15的两端分别自圆管两端的端盖自由穿过。The upper non-linear spring
下层非线性弹簧外导套8的结构和上层非线性弹簧外导套14的结构相同。The structure of the lower layer nonlinear spring
本申请主要工作原理是:如图1所示,当未放置被隔振体22时,上层非线性弹簧15与下层非线性弹簧5均处于倾斜状态。将被隔振体22放置于支撑平板20的上表面时,上层垂向平面弹簧11与下层垂向平面弹簧2都会被压缩,可以通过旋拧螺钉二13、螺钉三7,使得上层非线性弹簧15和下层非线性弹簧5处于水平位置。上层垂向平面弹簧11的截面图如图3所示,其中,b1为外平面厚度,b2为内平面厚度,只要合理设计外平面厚度和内平面厚度就可得到所需上层垂向平面弹簧11的刚度。如果被隔振体22的质量发生改变时,通过调节垂向移动机构21,从而使整个隔振系统重新回到平衡状态。通过选择合适的系统的结构参数和力学参数,结合使用水平移动机构与垂向移动机构21,使得系统的刚度为零。当被隔振体22在平衡位置附近振动时,系统的固有频率较低,承载能力较大。因此,该隔振系统可以实现低频减振的目标。The main working principle of the present application is: as shown in FIG. 1 , when the vibration-isolated
令上层准零刚度隔振器的横向阻尼比为上层准零刚度隔振器的竖直阻尼比为下层垂向平面弹簧2与上层垂向平面弹簧11的刚度之比为中间质量块9与被隔振体22的质量之比为其中,ch1为上层隔振器的横向阻尼系数,c1为上层隔振器的竖直阻尼系数。Let the lateral damping ratio of the upper quasi-zero stiffness isolator be The vertical damping ratio of the upper quasi-zero stiffness isolator is: The ratio of the stiffness of the lower
力传递率是评价隔振系统的隔振性能的一项重要指标,定义为:隔振系统受到激励力的作用后传递到地基的力幅值与激励力幅值的比值。如果系统的力传递率越小,则系统的隔振效果越好。当有简谐激励力作用于隔振系统中的被隔振体22时,选择合理的横向阻尼比、垂向阻尼比、刚度比和质量比,运用数值分析方法对比研究了两自由度准零刚度隔振系统与单自由度系统的隔振性能。The force transmissibility is an important index to evaluate the vibration isolation performance of the vibration isolation system, which is defined as the ratio of the amplitude of the force transmitted to the foundation by the vibration isolation system under the action of the excitation force to the amplitude of the excitation force. The smaller the force transmissibility of the system, the better the vibration isolation effect of the system. When there is a harmonic excitation force acting on the
上层准零刚度隔振器的竖直阻尼比不同的工况下,两自由度系统与单自由度系统的力传递率曲线对比图如图4,上层准零刚度隔振器的竖直阻尼比的改变对力传递率的第一峰值的影响较小,阻尼比越大,力传递率的峰谷增加,第二峰值减小;当阻尼比增加到较大值(ζ1=0.5)时,峰谷和第二峰值均会逐渐消失。Under the different working conditions of the vertical damping ratio of the upper quasi-zero stiffness vibration isolator, the force transfer rate curves of the two-DOF system and the single-DOF system are compared in Figure 4. The vertical damping ratio of the upper-layer quasi-zero stiffness vibration isolator is shown in Figure 4. The change of , has little effect on the first peak value of the force transmissibility, the larger the damping ratio, the peak-to-valley increase of the force transmissibility, and the decrease of the second peak value; when the damping ratio increases to a larger value (ζ 1 =0.5), Both the valley and the second peak will gradually disappear.
图5为下层垂向平面弹簧2与上层垂向平面弹簧11的刚度之比不同的工况下,两自由度系统与单自由度系统的力传递率曲线比较图,根据该图可知,力传递率的第一峰值随着刚度比的减小而降低,且向低频区偏移,起始隔振频率减小,隔振频带宽增加;而峰谷和第二峰值随着刚度比的减小而增大,峰谷的增幅相对较大。Figure 5 is a comparison diagram of the force transfer rate curves of the two-DOF system and the single-DOF system under the working conditions where the ratio of the stiffness of the lower
如图6,在中间质量块9与被隔振体22的质量之比不同的工况下,观察两自由度系统与单自由度系统的力传递率曲线对比图发现,质量比越大,力传递率的第一峰值略微增加,且出现向低频区偏移的趋势;峰谷和第二峰值都随着质量比的增加而明显增大。As shown in Fig. 6, under the condition that the mass ratio of the
对比分析图4、图5和图6可得:与单自由度准零刚度隔振系统相比,两自由度准零刚度隔振系统的力传递率曲线会出现两个峰值和一个峰谷;虽然第二峰值局部区域隔振效果相对较弱,但峰谷附近频域内的隔振性能显著增强;可通过选择合理的参数,减小系统的力传递率峰值和起始隔振频率,扩大隔振区间。当频率比Ω>1.96时,系统力传递率的衰减速率显著提高,在该频段内的隔振性能明显优于单自由度准零刚度隔振系统,低频隔振性能得到进一步改善。Comparing and analyzing Fig. 4, Fig. 5 and Fig. 6, it can be seen that compared with the single-degree-of-freedom quasi-zero stiffness vibration isolation system, the force transmissibility curve of the two-degree-of-freedom quasi-zero stiffness vibration isolation system will have two peaks and one peak and valley; Although the local area vibration isolation effect of the second peak is relatively weak, the vibration isolation performance in the frequency domain near the peak and valley is significantly enhanced; by selecting reasonable parameters, the peak force transmissibility and initial vibration isolation frequency of the system can be reduced, and the isolation can be expanded. vibration interval. When the frequency ratio Ω>1.96, the attenuation rate of the force transmissibility of the system increases significantly, the vibration isolation performance in this frequency band is obviously better than that of the single-degree-of-freedom quasi-zero stiffness vibration isolation system, and the low-frequency vibration isolation performance is further improved.
以上描述是对本发明的解释,不是对发明的限定,本发明所限定的范围参见权利要求,在本发明的保护范围之内,可以作任何形式的修改。The above description is an explanation of the present invention, not a limitation of the present invention. For the limited scope of the present invention, refer to the claims, and any form of modification can be made within the protection scope of the present invention.
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