Audio Engineering Society Convention Paper 9283 Presented at the 138th Convention 2015 May 7–10 Warsaw, Poland This paper was peer-reviewed as a complete manuscript for presentation at this Convention. This paper is available in the AES E-Library, http://www.aes.org/e-lib All rights reserved. Reproduction of this paper, or any portion thereof, is not permitted without direct permission from the Journal of the Audio Engineering Society. Loudspeaker systems by linear motion type piezoelectric ultrasonic actuators Daichi Nagaoka1 , Juro Ohga2 , Hirokazu Negishi3 , Ikuo Oohira4 , Kazuaki Maeda5 , and Kunio Oishi1 1 Tokyo University of Technology, Hachioji-shi, Tokyo, 192-0914, Japan 2 Shibaura Institute of Technology/ MIX corporation, Kamakura-shi, Kanagawa, 247-0071, Japan 3 MIX corporation, Yokosuka-shi, Kanagawa, 238-0026, Japan 4 Self-employed, Yokohama-shi, Kanagawa, 227-0026, Japan 5 TOA Corporation, Takarazuka-shi, Hyogo, 665-0033, Japan Correspondence should be addressed to Daichi Nagaoka ([email protected]) ABSTRACT The research group of authors has been developing completely new loudspeaker constructions which are driven by piezoelectric ultrasonic motors. This paper proposes two sorts of applications of piezoelectric linear actuators to both direct radiator and horn loudspeakers. A direct-radiator loudspeaker with a cone radiator driver by piezoelectric actuators shows smooth frequency characteristics in low frequency region because its radiating motion includes no significant resonance in the working frequency region. Therefore, it is useful for radiation of the lowest frequency part of audio signal. A horn loudspeaker by the same actuators works in rather moderate frequency region which is higher than the cut-off frequency of horns of ordinary size. 1. INTRODUCTION The conventional electrodynamic loudspeakers were developed about 60 years ago and their fundamental construction is not changed. These sorts of loudspeakers, however, include some limitations in its performances, due to that the electro-dynamic transducers for the conventional loudspeakers do not have satisfactorily high driving impedance because its driving force is induced via an air gap [1]. Nagaoka et al. Loudspeaker using ultrasonic actuators To avoid this defect, use of an electromechanical transducer with large mechanical impedance for a driver is necessary to drive a sound-radiating diaphragm by a strong, as well as highly controlled force. A direct-radiator loudspeaker with this driver will work without any significant resonance. It may be suitable to very low frequency signal radiation. A horn loudspeaker with this driver will be able to use rather simple throat construction with a smaller diaphragm. The sound equalizer in front of the diaphragm may not be necessary. (a) Photograph The authors are studying the completely new loudspeaker driven by piezoelectric ultrasonic motors or actuators [2–4].The ultrasonic motors (USM), and also the ultrasonic actuators, are characterized by very high driving mechanical impedance because its mover contacts its stator tightly. The authors already presented the direct-radiator loudspeaker using rotational ultrasonic motors [4]. They proposed so-called ”QMDS” construction using four ultrasonic motors as a new direct-radiator loudspeaker suitable for radiation at a low frequency range. However, use of rotational motors requires a mechanism which induces a reciprocal motive force from a continuous revolution of the motors. This condition results somewhat complicated construction. In this paper, the authors propose use of ultrasonic linear actuators. A few compact linear actuators are already developed to be commercially available [5]. 2. PIEZOELECTRIC ULTRASONIC LINEAR ACTUATOR The linear actuator that the authors use is Type NU30, which was developed by Dr. M. Takano et al. in 2006 and delivered by NIKKO Co. It includes a multilayer piezoelectric actuator [6]. (b) Piezoelectric ceramic rods Fig. 1: Structure and photograph of NU30. and bending vibration, which are independent each other. Fig. 1 (a) shows photograph of NU30 actuator. A small elliptical motion of the finger tip of it actuates reciprocal motion of a driving plate connected to a diaphragm. The cooperation of two vibrating modes will be explained by Fig. 2. A small elliptical motion of the finger tip is induced by a composite of longitudinal vibration (L1) and bending vibration (B2) of the piezoelectric ceramic rod having four divided electrodes. Its resonant frequencies of longitudinal extension vibration and transverse bending vibration of the ceramic are designed to be close frequency proximity. In the case of NU30, the impedance of L1 and B2 is 55 Ω and 20 Ω in a driving frequency respectively. Fig. 1 (b) describes structure of two multilayer piezoelectric ceramic rods included in the actuator. The electrodes of them are divided so as to induce two vibration modes: longitudinal vibration Fig. 3 shows relationship between applied voltage and velocity of the mover. Input-output linearity is excellent even very low input voltage region [5]. Relationship between input voltage and vibrating ve- 2.1. Construction of NU30 Fig. 1 shows transducer construction of the piezoelectric ultrasonic actuator NU30 [7]. AES 138th Convention, Warsaw, Poland, 2015 May 7–10 Page 2 of 6 Nagaoka et al. (a) L1 mode Loudspeaker using ultrasonic actuators (b) B2 mode Fig. 2: Two vibration modes. Fig. 4: Driving circuit block diagram. tioin of the finger tip at the same frequency as the audio signal. Fig. 4 shows a block diagram of the driving circuit developed by the authors. Two power amplifiers drive B2 and L1 electrodes. Signal for B2 is modulated by using a multiplexer. The signal for L1 is shifted by 90 degree to the signal for B2 by an all-pass filter. Fig. 3: Velocity characteristics. locity of chip top of the actuator is almost linear. 2.2. Driving circuit The multilayer piezoelectric actuator used here requires two sorts of signal waves. One is a high-frequency sinusoidal ac signal, 55 kHz of frequency, for example. The other is an audio signal to be radiated. The high-frequency signal shall be arranged as two signals with phase difference of 90 degree, i.e., “sin” and “cos” signals to generate elliptical motion of the finger tip. One of the high-frequency signals is modulated by the audio signal as DSB (Double Side Band) wave. The high-frequency wave and the DSB wave are added to L1 and B2 respectively, rotational direction of finger tip is dependent on sign of the audio signal. When the sinusoidal voltage of the audio signal is positive, the rotational direction is clockwise, and vice verse. A driving target responds to the mo- 3. EXPERIMENTAL MODEL OF DIRECTRADIATOR LOUDSPEAKER As the first application of the linear actuators, the authors examined a direct-radiator loudspeaker model with a cone radiator to compare the former model by using rotational motion of the ultrasonic motors [4]. The former model was suitable for low frequency radiation, lower than 200 Hz, for example. However, the new experimental loudspeaker system driven by the linear motion type ultrasonic actuators were rather suitable for radiation of mid frequency range signal than. low frequency radiation. The proposed loudspeaker is denoted as USMSP (UltraSonic Motor loudSPeaker). 3.1. Construction of direct-radiator loudspeaker model Loudspeaker construction of this model is simpler than the former models because the cone radiator is driven by linear motion of a driving plate induced by the actuators directly. Figs. 5 and 6 show the construction and a photograph. Two NU30 actuators are mounted vertically. Reciprocal motion of the driving plate induces vibration of the cone radiator. Fine adjustment of alignment between actuators and driving plate is done by a micrometer-head. AES 138th Convention, Warsaw, Poland, 2015 May 7–10 Page 3 of 6 Nagaoka et al. Loudspeaker using ultrasonic actuators Fig. 7: Output sound pressure level and distortion level. Fig. 5: Linear motion type USMSP construction (overview). conventional USMSP [8]. 4. HORN LOUDSPEAKER MODEL The loudspeaker driver by the linear motion type piezoelectric ultrasonic driver seems suitable for a horn loudspeaker for public address systems etc. because its driving mechanical impedance is high. It means large driving force to the horn driver diaphragm. The authors applied this sort of driver to a horn loudspeaker model. The proposed horn loudspeaker is denoted as USMCD (UltraSonic Motor Compression Driver). Fig. 6: Photograph of USMSP. Fig. 7 shows an example of frequency response of output sound pressure and second and third distortion levels of this model in front of the cone radiator. Radiation characteristics of this model for signal frequency of less than 800 Hz seems good. Frequency response is smooth and distortion is less than −20 dB. The result described above shows that this USMSP is sutable for a higher frequency than the 4.1. The conventional horn loudspeakers The throat of a horn is designed to be smaller than wavelength of the highest frequency sound to be radiated. The conventional horn loudspeakers use a driver diaphragm larger than size of the throat to get a satisfactorily large volume velocity. Therefore, the diaphragm is coupled via an acoustical transformer so-called as an equalizer. By using the piezoelectric ultrasonic actuators, the authors examined to drive by a diaphragm of as small as the horne throat size, coupled directly without any equalizer. 4.2. Construction of USMCD Figs. 8 and 9 show our experimental horn loudspeaker model driven by a mechanism similar to that shown in Fig. 5. AES 138th Convention, Warsaw, Poland, 2015 May 7–10 Page 4 of 6 Nagaoka et al. Loudspeaker using ultrasonic actuators Fig. 8: Construction of the experimental driver. Fig. 10: Output sound pressure level and distortion level. Fig. 9: Photograph of horn loudspeaker model. The authors constructed an experimental horn loudspeaker model using a reflex horn of 500 mm in diameter for frequency range of more than 200 Hz, commercially available by TOA Co. [9]. The horn driver construction is a cylinder-piston system whose piston is connected to a driving plate vibrated by piezoelectric actuators. The clearance between cylinder and piston is 20 micrometer which is sufficiently narrow because cut off frequency by leak of the clearance is lower than the lower limiting frequency of the horn. The plate driven by the actuators is also supported at the opposite end by using a loudspeaker damper to vibrate linearly and maintain the initial position at no signal. A laboratory jack was used for height adjustment of driver. 4.3. Input-output characteristic of USMCD Fig. 10 shows an example of frequency response of output sound pressure and second and third distortion levels of this model at the open end of the horn. This model can radiate sound from cut-off frequency of the horn to 1000 Hz. The conventional horn loudspeaker TH-750 can produce a sound level of 110 dB in the frequency range of 200 to 6000 Hz with the corresponding driver unit TU-750 [10]. Still availability of the experimental loudspeaker explained above is poor, the future improvement of construction will bring a practical performance. The authors are trying to a new design of the cylinder for converting the mechanical motion into an acoustic signal. 5. CONCLUSION In this paper, the authors propose use of commercially available ultrasonic linear actuators for two sorts of loudspeaker constructions. One is a directradiator loudspeaker with a cone-radiator. The other is a horn loudspeaker. Both models are suitable for radiation of higher frequency sound than former models by using rotational revolution of piezoelectric ultrasonic motors which the authors proposed already. 6. ACKNOWLEDGMENT The authors wish to thank Prof. K. Nakamura of Tokyo Institute of Technology and Dr. M. Takano of Industrial Research Institute of Ishikawa for their AES 138th Convention, Warsaw, Poland, 2015 May 7–10 Page 5 of 6 Nagaoka et al. Loudspeaker using ultrasonic actuators valuable supports and discussions. 7. REFERENCES [1] John M. Eargle, “Loudspeaker Handbook,” Chapman & Hall (USA, 1997), pp. 22-26. [2] J. Ohga, “Sound system with wideband piezoelectric rectangular loudspeakers using a tuck shaped PVDF bimorph,” Proc. Acoustics 2008, pp. 4573-4578 (Paris, France, June 29-July 4, 2008). [10] TOA Co., “TU-750 Driver unit,” http://www. toa.co.jp/products/prosound/speakers/ speakers_phone_separate/tu-750.htm [in Japanese]. [11] H. F. Olson and F. Massa, “Applied Acoustics,” second edition, P. Blankiston’s Son & Co. (USA, 1939), p. 214. [3] J. Ohga, “Variety of electroacoustical devices by piezoelectric materials - Is the loudspeaker without magnet nor coil practical? -,” Fundamentals Review, IEICE, 1, 4, pp. 46-61 (2008) [in Japanese]. [4] J. Ohga, R. Suzuki, K. Ishikawa, H. Negishi, I. Oohira, K. Maeda, and H. Kubota, “Loudspeaker for low frequency signal driven by four piezoelectric ultrasonic motors,” AES 132nd Convention, no. 0040 (Apr. 2012). [5] M. Takano, M. Takimoto, and K. Nakamura, “Electrode design of multilayered piezoelectric transducers for longitudinal-bending ultrasonic actuators,” Acoust. Sci. & Tech. vol. 32, no. 3, (2011), pp.100-108. [6] M. Takano, A. Nakashima, M. Taka, and T Ishii,“Development of Linear Ultrasonic Actuator with Elastic Hinge (Evahuation of Elastic Hinge Structure using Finite Element Analysis),” The Japan Society of Mechanical Engineers, vol. 72, no. 721 (2006), pp. 209–214 [in Japanese]. [7] New queyras series editorial board, “Application of piezoelectric ceramics,” Gakken Co. (Japan, 1989) pp. 101–102. [8] Juro Ohga, Hiroya Saito et al., “Loudspeaker for low frequency signal driven by four piezoelectric ultrasonic motors,” International Congress on Acoustics 2013 Montreal, 1pEAb5 (2013). [9] TOA Co., “TH-750 Reflex horn,” http://www.toa.co.jp/products/prosound/ speakers/speakers_phone_separate/ [in Japanese]. AES 138th Convention, Warsaw, Poland, 2015 May 7–10 Page 6 of 6
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