Frequency Of Cantilever Beam Research Articles

Orientation Effect on Statics and Natural Frequency of Cantilever Beam

Statics and frequency analyzes are important because the structure can support the static and dynamic loads. Most studies about the statics and frequency are not included the gravity load. The previous studies of gravity effect to the cantilever beam included the hanging, horizontal, and inverted positions. The gravity load direction is applied referred to the longitudinal and lateral beam directions in this study. The closer to the inverted position the smaller the natural frequency. The highest values of the maximum displacement and the maximum Von-Mises stress are happened if longitudinal position is horizontal and lateral orientation angle is 0°. The change of lateral orientation angle does not influence the natural frequency in this condition. Keywords—Cantilever beam, gravity load, natural frequency, orientation angle, statics

Vibration Analysis of Uniform and Tapered Composite Beams with Embedded Shape Memory Alloy

In this study, laminated composite materials were hybridized with E-glass fiber and Nitinol (Nickel-Titanium) wires. Hand lay-up technique was used to prepare the samples, epoxy resin type (Sikadur 52 N) was used as matrix reinforced by one fiber from E-glass fiber woven roving with embedded nitinol wires with a diameter 0.5 mm for samples and number of wires such as 0, 1, 3, 5 and 9 to find the effect of the number of wires on the natural frequency. The samples were fixed as a cantilever beam. The effects of increasing the number of nitinol wires, the diameter of nitinol wires, the length of the cantilever beam and the thickness of beam on the natural frequencies of the beam were studied. Also, the effects of the tapered in width side and thickness side on the natural frequencies of cantilever beam were studied. The results showed that the increasing in the number of nitinol wires and the diameter of nitinol wires lead to decrease the natural frequency in martensite phase and increase the natural frequency in austenite phase. Also, the increasing in thickness of beam and width ratio of the beam lead to increase the natural frequency. As well as, the increasing in the thickness ratio leads to increase the first natural frequency and decrease the second and third ones. In addition, the increasing in the length of the beam decreases the natural frequency.

Research of Piezoelectric Cantilever Beam Diaphragm Pump

The design in this paper is a rectangular piezoelectric vibrator driven Cantilever Beam Diaphragm Pump. By analyzing the working principle and characteristics of the piezoelectric cantilever beam pump, we developed the dynamics model and FEA model of the piezoelectric cantilever beam and optimized through tests the main factors that affect the output flow of the piezoelectric cantilever pump. Additionally, we designed the piezoelectric cantilever pump prototype, and by using an impedance analyzer, we measured the resonance frequencies of cantilever beams of different lengths; and we used the laser micrometer to test and measure the beams of different structures under loaded and unloaded condition. The maximum displacement of the output terminal of loaded cantilever beam is 50.5μm. Furthermore, through the experiments we tested the output flow and its corresponding variation under different diameters of transmission pistons and different excitation frequencies. Experimental tests show: when selecting the cantilever beam and the drive piston with optimal performance with the input voltage at 120V, and the frequency at 197Hz, the optimum output flow rate is 89ml/min.

보의 폭 전체에서 발생된 열린 균열을 갖는 외팔보의 손상모델에 관한 연구

We studied the influences of open cracks in free vibrating beam with rectangular section using a numerical model. The crack was assumed to be single and always open during the free vibration and equivalent bending stiffness of a cracked beam was calculated based on the strain energy balance. By Galerkin's method, the frequencies of cantilever beam could be obtained with respect to various crack depths and locations. Also, the experiments on the cracked beams were carried out to find natural frequencies. The cracks were initiated at five locations and the crack depths were increased by five steps at each location. The experimental results were compared with the numerical results and the comparison results were discussed.

APPROXIMATE DETERMINATION OF THE FUNDAMENTAL FREQUENCY OF A CANTILEVERED BEAM WITH POINT MASSES AND RESTRAINING SPRINGS

This paper deals with the approximate determination of the fundamental vibration frequency of a uniform cantilever beam with any number of mounted masses and restraining springs at various locations along the length of the beam. Numerical results are obtained by using a finite element technique. The beam has a uniform rectangular cross-section and the constraint is a translational spring. A method known as the equivalent center weight method forms the basis of this investigation. Design charts have been established for equivalent factors for both the mounted masses and springs. These charts are useful for quick determination of the natural frequency of a cantilever beam with masses and springs at any arbitrary locations.

An analysis of free undamped vibration of beams of varying cross-section

An analysis has been presented for the evaluation of the natural frequency of cantilever beams of varying cross-section. The solution of the governing differential equation yields the modal shape in terms of Bessel's functions of various kinds and orders. A graphical method has been resorted to for evaluation of natural frequencies, as the characteristic equation contains the frequency parameter in implicit form.

Vibration of beams with varying cross-sections by the Stodola-Newmark method

This paper deals with the vibration of beams with varying cross-sections using the Stodola-Newmark method which is an alternative discrete-approach to solve directly the governing ordinary differential equation. To demonstrate the convergence and accuracy of the present method, several examples are calculated and are compared with those obtained by the analytical methods and other numerical methods. The present results converge to the exact values with the increment of panels which are similar to mesh divisions. The frequencies of cantilever beams with arbitrarily varying cross-sections such as tapered, parabolic or cubic breadth and depth in air or in water are analyzed.

A Critical Assessment of the Cantilever Beam Method for the Determination of Dynamic Young's Modulus

Abstract The application of a noncontacting optical transducer for the measurement of flexural resonant frequencies and normal mode shapes of a cantilever beam is described. Results on the resonant frequencies of cantilever beams, gripped at the fixed end by a vise, are compared with the Bernoulli-Euler and Timoshenko beam theories. Although the mode shapes agree well with the theories, there are large discrepancies between the experimental variation of resonant frequency with inverse slenderness ratio and that predicted by the theories. These discrepancies are attributed to imperfect clamping. It is concluded that for accurate Young's modulus calculations from the measured resonant frequencies of cantilever beams, tests must be restricted to long slender beams. For beams which cannot be fabricated to meet this criterion, an empirical method is presented which yields Young's modulus to within ±3 percent on the specimens tested. For increased accuracy the free-free reasonant beam method should be used.

Effect of the rigidity of the attachment on the vibrational frequencies of cantilever beams

Effect of the rigidity of the attachment on the vibrational frequencies of cantilever beams