Experimental and Numerical Study of the Transient Response of a Cantilever Beam with a Piezoelectric Disc Sensor
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2026
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| author | Kolman, Radek Cimrman, Robert Musil, Ladislav Frey, Moritz Kylar, Jaromir Brandstaeter, Sebastian Kotek, Vojtech Popp, Alexander Kober, Jan |
| author_facet | Kolman, Radek Cimrman, Robert Musil, Ladislav Frey, Moritz Kylar, Jaromir Brandstaeter, Sebastian Kotek, Vojtech Popp, Alexander Kober, Jan |
| contents | Online and real-time sensing and monitoring of the health state of complex structures, such as aircraft and critical components of power stations, are essential aspects of research in dynamics. Several types of sensors are used to capture dynamic responses and monitor changes during the operation of critical parts of complex systems. Piezoelectric (PZ) materials belong to a class of electroactive materials that convert mechanical deformation into an electrical response. For example, PZ ceramics or PVDF foils are employed for online sensing of the time history of mechanical deformation. This paper focuses on the dynamical response of a cantilever beam structure equipped with a glued PZ sensor and combines experimental and modelling approaches to achieve accurate and reliable results. The time history of the normal velocity at a point on the beam surface was recorded with a laser vibrometer during transient vibrations of the beam, triggered by the sudden removal of a mass load at the beam's free end. Simultaneously, the output voltage of the PZ sensor was measured with an electronic device. An elastodynamic model of a cantilever beam coupled with a piezoelectric sensor is introduced, along with its discretization using the finite element method. The mathematical model includes additional terms that enforce a floating-potential boundary condition to maintain a constant charge on one of the sensor's electrodes and is presented in an extended form suitable for sensitivity analysis or parameter identification. The model implementation is validated using a numerical example corresponding to the experimental setup. The computed results show good agreement with the experimental data. Furthermore, values of the Rayleigh damping parameters were identified based on the experimental measurements. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_16374 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental and Numerical Study of the Transient Response of a Cantilever Beam with a Piezoelectric Disc Sensor Kolman, Radek Cimrman, Robert Musil, Ladislav Frey, Moritz Kylar, Jaromir Brandstaeter, Sebastian Kotek, Vojtech Popp, Alexander Kober, Jan Computational Engineering, Finance, and Science 74F15, 74H45, 74S05 Online and real-time sensing and monitoring of the health state of complex structures, such as aircraft and critical components of power stations, are essential aspects of research in dynamics. Several types of sensors are used to capture dynamic responses and monitor changes during the operation of critical parts of complex systems. Piezoelectric (PZ) materials belong to a class of electroactive materials that convert mechanical deformation into an electrical response. For example, PZ ceramics or PVDF foils are employed for online sensing of the time history of mechanical deformation. This paper focuses on the dynamical response of a cantilever beam structure equipped with a glued PZ sensor and combines experimental and modelling approaches to achieve accurate and reliable results. The time history of the normal velocity at a point on the beam surface was recorded with a laser vibrometer during transient vibrations of the beam, triggered by the sudden removal of a mass load at the beam's free end. Simultaneously, the output voltage of the PZ sensor was measured with an electronic device. An elastodynamic model of a cantilever beam coupled with a piezoelectric sensor is introduced, along with its discretization using the finite element method. The mathematical model includes additional terms that enforce a floating-potential boundary condition to maintain a constant charge on one of the sensor's electrodes and is presented in an extended form suitable for sensitivity analysis or parameter identification. The model implementation is validated using a numerical example corresponding to the experimental setup. The computed results show good agreement with the experimental data. Furthermore, values of the Rayleigh damping parameters were identified based on the experimental measurements. |
| title | Experimental and Numerical Study of the Transient Response of a Cantilever Beam with a Piezoelectric Disc Sensor |
| topic | Computational Engineering, Finance, and Science 74F15, 74H45, 74S05 |
| url | https://arxiv.org/abs/2602.16374 |