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Structures subjected to vortex shedding swirling motion of fluids such as turbine blades airplane wings bridges and towers Why should you do a harmonic analysis To make sure that a given design can withstand sinusoidal loads at different frequencies e g an engine running at different speeds

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Eccentric stators will produce uneven airgap along the circular motion of the rotor inside the stator resulting in highly directional vibration This produces a pulsation in the system thus resulting in excitation of 2x Line frequency being excited

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The restoring force acts upon the vibrating object to move it back to its original equilibrium position Vibrational motion is often contrasted with translational motion In translational motion an object is permanently displaced The initial force that is imparted to the object displaces it from its resting position and sets it into motion

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A Soft and Robust Spring Based Triboelectric Nanogenerator for Harvesting Arbitrary Directional Vibration Energy and SelfPowered Vibration Sensing Minyi Xu Peihong Wang YiCheng Wang Steven L Zhang Aurelia Chi Wang as an active mechanical motion sensor using its own electrical output without a secondary power source

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The proposed nonlinear arbitrarydirectional broadband piezoelectric vibration energy harvester is shown in figure 1 Observing figure 1 the vibration energy harvester consists of a mass a base 3 sets of identical PZT beams and legs connecting the mass to the base in parallel and 3 sets of polar opposing permanent magnets B1 and C1 B2 and C2 B3 and C3

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Motion Control Coordinate System In free space an object is considered to have six degrees of freedom three linear along the x y and zaxes and three rotational around those see Figure 1 All motions described here follow the righthand coordinate system convention The crossproduct of X and Y axes pointer and middle fingers is the Z axis thumb

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Multidirectional energy harvesting by piezoelectric cantileverpendulum with internal resonance motion and – – base the potential for a higher multidirectional vibration energy

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The directional vibration is generated by an asymmetric sinusoidal function composed of two half periods ω1 ω2 of different length so that the rising part is steeper than the falling part or vice versa By asymmetric we mean asymmetric over time not with asymmetric amplitude as seen in Figure 1 and Figure 2 An object vibrating

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Vibration is an oscillatory motion Any body with mass and elasticity can vibrate The simplest type of vibrating system is called a singledegreeoffreedom springmass system The spring is characterized by its spring rate K and a mass M This system is called a singledegreeoffreedom system because motion can occur in only one direction