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Vibrations are the manifestation of things occurring at some frequency. This can be one per rev from imbalance (nothing is ever perfectly balanced) in gears spinning, one per tooth from each tooth changing where it presses against another tooth, one per specific tooth if a tooth exhibits an anomaly differentiating it from other teeth, specific interactions ...

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When you are operating a trimmer you have a mass of about 10 gr moving side to side. Let's assume that the amplitude of the motion is about 0.1mm, and that the frequency is f= 500Hz. So the blade will be vibrating: $$x(t) = X\cdot \sin(2\pi f t)$$ That means that is velocity will be: $$\dot{x}(t) = (2\pi f)X\cdot \cos(2\pi f t)$$ and the acceleration will be:...

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First of all, the two methods you suggested (buying pad materials and spring+damper) are not necessarily different. Usually the different pad materials that can be bought, (mainly) modify the spring constant in the structure. Additionally, although there are methods of targeting specific frequencies, in most cases they are not very useful. The reason, is ...

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