Determination of Young’s modulus by studying the flexural vibrations of a bar: experimental and theoretical approaches

Pradhan, R.; Dhara, A K; Panchadhyayee, P; Syam, D.

doi:10.1088/0143-0807/37/1/015001

Cited by 6 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This impact method can be useful to predict only the first few resonant modes without exciting at the higher frequencies. As presented in previous studies [67][68][69], the most accurate values of calculated Young's modulus are received from the first resonant modes; therefore, there is no need to try to measure the highest of them.…”

Section: Results Of Analysis Of Microstructure Of Welded Jointsmentioning

confidence: 99%

Flash Welding of Microcomposite Wires for Pulsed Power Applications

Višniakov

Škamat

Černašėjus

et al. 2020

Metals

View full text Add to dashboard Cite

This paper presents the experimental results of Cu-Nb wire joining upon applying flash welding technology. The present research is aimed at investigating the structure, electrical and mechanical properties of butt welding joints of Cu-Nb conductors, usable for coils of pulsed magnetic systems. The butt joint structure was found to be free of welding defects. The structure of the butt welded joint provides an insignificant increase in electrical resistance and sufficient ultimate strength and plasticity of the joint. The tensile strength of the welded sample reaches 630 MPa.

show abstract

Section: Results Of Analysis Of Microstructure Of Welded Jointsmentioning

confidence: 99%

Flash Welding of Microcomposite Wires for Pulsed Power Applications

Višniakov

Škamat

Černašėjus

et al. 2020

Metals

View full text Add to dashboard Cite

show abstract

“…The equation of motion for bending waves on a uniform, flexible beam of density ρ, crosssectional area A and Young's modulus E is given in its simplest form by [3][4][5][6][7][8][9][10][11][12] ρA…”

Section: Flexible Beam Modelmentioning

confidence: 99%

“…For a rectangular cross-section beam of thickness a and width b, I = ba 3 /12, assuming that the beam bends in the thickness direction. Equation ( 12) has been solved many times in the past with F 0 = 0 to determine the vibration frequencies and shapes of a beam [6][7][8][9][10][11][12], but less frequently with a forcing term, F 0 . Nevertheless, it is relatively straightforward to find numerical solutions by dividing the beam into many equal mass, equal length segments, with an impact force applied to one or more segments.…”

Section: Flexible Beam Modelmentioning

confidence: 99%

“…The experiment could be conducted in an undergraduate laboratory and could be analysed either with a rigid beam or a flexible beam model. The vibration frequencies of a flexible beam have been analysed previously by many authors [6][7][8][9][10][11][12], so the additional effort of calculating the rebound speed of an incident ball is not beyond undergraduate students.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact of a ball with a flexible beam

Cross¹,

Lindsey²

2020

Eur. J. Phys.

View full text Add to dashboard Cite

The impact of a ball with a flexible beam is analysed both experimentally and theoretically. The impact generates a bending wave that may or may not return to the impact point before the ball bounces off the beam. If the ball rebounds before the bending wave returns, then the rebound speed of the ball is determined by localised bending of the beam in the vicinity of the impact point. For a short duration impact, the rebound speed is therefore independent of whether the beam is freely supported or clamped at one or both ends, unless the impact occurs close to an end of the beam. Two different values of the coefficient of restitution can be defined, depending on whether the speed of the beam is measured when the ball rebounds or at a later stage. Experimental results were obtained using a small rubber ball impacting light wood and steel beams. A video camera and two piezoelectric disks were used to capture the relevant ball speeds and vibration response of the beam. The experiment would be suitable for undergraduate students.

show abstract

“…Pada saat frekuensi medan magnet sama dengan frekuensi alami sistem (batang aluminium dan magnet) maka akan terjadi resonansi. Frekuensi alami batang aluminium pada keadaan tidak ada beban magnet yang ditambahkan dapat ditentukan dari grafik frekuensi resonansi terhadap massa magnet yang ditambahkan pada ujung batang aluminium yang bebas [Pradan, R. et al, 2015]. Nilai Modulus Young ditentukan dari hasil nilai frekuensi pada saat resonansi.…”

Section: Pendahuluanunclassified

Pengukuran Modulus Young dengan Analisis Keadaan Resonansi Batang Aluminium yang Bergetar Menggunakan ImageMeter

Tefa

Santosa

2017

Prosiding SNFA

View full text Add to dashboard Cite

Abstract: An experiment to determine Young’s Modulus by analyzing the vibrations of an aluminum bar has been conducted. The aluminium bar is vibrated by the magnetic field. A tiny magnet is glued at the free end of the bar. A coil carrying an alternating current generates an alternating magnetic field. The resonance condition is investigated by the measurement of its wavelength using the ImageMeter application. The natural frequency of the aluminum bar is determined from the measurement of its resonance frequencies. The natural frequency and the bar length are used to calculate Young’s Modulus. The experimental data shows the Young’s Modulus of aluminum is . This measurement method is used for learning purposes. Abstrak: Telah dilakukan pengukuran nilai Modulus Young dengan analisis getaran dari sebuah batang aluminium. Batang aluminium digetarkan dengan medan magnet. Magnet kecil ditempelkan pada bagian ujung batang aluminium yang bebas. Sebuah kumparan yang berada di bawah ujung batang aluminium diberi arus bolak balik yang dapat diatur frekuensinya. Pada frekuensi tertentu akan terjadi resonansi dengan mengikuti pola yang khas. Keadaan resonansi batang aluminium ini dibuktikan dari hasil pengukuran panjang λ menggunakan aplikasi ImageMeter. Selanjutnya frekuensi alami batang aluminium ditentukan dari pengukuran frekuensi resonansinya. Nilai Modulus Young aluminium dihitung dari nilai frekuensi alami dan panjang batang. Dari hasil pengukuran diperoleh nilai Modulus Young . Metoda pengukuran ini digunakan untuk keperluan pembelajaran.

show abstract

Determination of Young’s modulus by studying the flexural vibrations of a bar: experimental and theoretical approaches

Cited by 6 publications

References 13 publications

Flash Welding of Microcomposite Wires for Pulsed Power Applications

Flash Welding of Microcomposite Wires for Pulsed Power Applications

Impact of a ball with a flexible beam

Pengukuran Modulus Young dengan Analisis Keadaan Resonansi Batang Aluminium yang Bergetar Menggunakan ImageMeter

Contact Info

Product

Resources

About