Amplification Ratios Research Articles

Experimental Study on the Acceleration Amplification Ratio of Cable Terminations for Electric Power Facilities

Among national infrastructure facilities, electric power facilities are very important sites that must maintain their functions properly even during a natural disaster or during social crises. Therefore, seismic design is required when necessary for major electric power facilities that have a significant impact when damaged in the event of an earthquake. In electric power facilities, bushings are generally installed in devices or structures. Therefore, ground acceleration can be amplified through devices, such as transformers, or sub-structures. Among various electric power facilities, cable terminations are representative cantilever-type substation facilities consisting of a bushing, a sub-structure, and support insulators. The bushings of cable terminations are generally made of porcelain or fiber-reinforced plastic (FRP) materials, and they may have different dynamic characteristics. This study attempted to estimate the acceleration amplification ratio in the main positions of cable terminations considering the materials of bushings. For two cable terminations with different specifications and bushing materials, three-axis shake table tests were conducted in accordance with IEEE 693, which includes a seismic performance evaluation method for a power substation facility. The acceleration amplification ratios at the top of the bushing, mass center, and top of the support structure were estimated using the acceleration responses of each cable termination. They were then compared with the acceleration amplification factors presented in design standards. Consequently, the acceleration amplification ratio of cable termination with an FRP bushing was lower than that of the cable termination with a porcelain bushing.

A compact structure and high-speed actuator designed by imitating the movement of wave

By imitating the natural phenomenon of waves pushing leaves, a compact novel wave-type piezoelectric actuator is proposed in this paper. Compared to traditional inchworm piezoelectric actuators, it combines the clamping unit and driving unit into an arc-shaped flexible driving foot (AFDF). Clamping and driving functions are realized by alternately controlling two ends of the AFDF using two piezoelectric stacks (PESs). One motion unit instead of two makes control simpler, the structure more compact and a faster movement speed. The static model of the AFDF is developed to characterize the mapping laws between structural dimensions and actuator amplification ratios, and the dynamic model represents the relationship between the control signals and move displacements, thus demonstrating the feasibility of the actuator. Finally, a prototype was fabricated, and a testing system was set up to conduct performance evaluations of its motion capabilities. At the driving frequencies of 370 Hz and 380 Hz, the maximum forward and reverse motion speeds can reach 4.345mm/s and 4.537mm/s, respectively. In the range of 0.1-10N, there is no significant change in motion speed, and it has good stability. Its resolution for forward and reverse motion can reach 106nm and 109nm, respectively.

Enhancement of piezoelectric energy harvesting for flexural waves by a metasurface-assisted phononic cavity

Piezoelectric energy harvesting of mechanical waves exhibits great potential applications in electricity generation for low-powered electronic devices. In this work, the metasurface-assisted phononic cavity is proposed for the enhancement of piezoelectric energy harvesting of elastic flexural waves. By employing the two-dimensional plate-type metamaterial, we construct a phononic cavity that possesses the ability to localize and amplify the flexural waves. On the other hand, for the purpose of flexural wave focusing, a sparse metasurface is inversely designed based on the interference theory through the particle swarm optimization algorithm. For collaborative wave manipulation, the sparse metasurface is set in front of the phononic cavity. Additionally, piezoelectric patches are attached within the phononic cavities. The wave characteristics of the metasurface-assisted phononic cavity are studied by using the finite element method. For comparison, a conventional phononic cavity (i.e., cavity without metasurface) and a reference bare plate are also considered. Due to the wavefront control ability of the metasurface, more flexural waves are guided into the phononic cavity region. Thus, compared with the reference plate, the power amplification ratios of the metasurface-assisted cavity and the conventional cavity are 102 and 7, respectively. The electrical outputs of the phononic cavity are remarkably boosted by the assistance of the sparse metasurface.

Design, modeling, and analysis of a new XYθ piezoelectric microstage featuring high amplification ratios and multiple actuation modes

Design, modeling, and analysis of a new XYθ piezoelectric microstage featuring high amplification ratios and multiple actuation modes

Design and implementation of a preset operational amplifier based on basic digital and analog hybrid circuit

In the vast landscape of electronic engineering, the indispensable roles of both analog and digital circuits are unequivocally recognized. Analog circuits, with their foundational principles, are extensively harnessed in areas encompassing audio, video, power systems, and particularly, amplifiers. Conversely, digital circuits, integral to modern-day technological advancements, are dominantly present in computing platforms, telecommunication systems, control mechanisms, and data storage infrastructures. Amplifiers, a cornerstone in analog circuit designs, principally focus on magnifying the amplitude of input signals, whether it be in terms of voltage or current. This amplification process hinges on the strategic configuration of electronic elements such as transistors, resistors, and capacitors. This paper endeavors to marry the attributes of digital and analog circuits. Through the adept utilization of fundamental electronic components, an innovative amplifier design capable of preset amplification ratios is birthed. The practicality and efficacy of this amplifier are rigorously validated via its hands-on assembly and experimental testing in a laboratory setting. Results consistently underscore the amplifiers adeptness in delivering precise signal amplification, conforming to its predetermined ratios. Such a design, rooted in its simplicity yet offering profound versatility, beckons further exploration. It stands as a beacon for potential future adaptions, tailored to suit a gamut of applications, and is poised to seamlessly dovetail into more sophisticated circuit systems.

Smart pH Sensing: A Self-Sensitivity Programmable Platform with Multi-Functional Charge-Trap-Flash ISFET Technology

This study presents a novel pH sensor platform utilizing charge-trap-flash-type metal oxide semiconductor field-effect transistors (CTF-type MOSFETs) for enhanced sensitivity and self-amplification. Traditional ion-sensitive field-effect transistors (ISFETs) face challenges in commercialization due to low sensitivity at room temperature, known as the Nernst limit. To overcome this limitation, we explore resistive coupling effects and CTF-type MOSFETs, allowing for flexible adjustment of the amplification ratio. The platform adopts a unique approach, employing CTF-type MOSFETs as both transducers and resistors, ensuring efficient sensitivity control. An extended-gate (EG) structure is implemented to enhance cost-effectiveness and increase the overall lifespan of the sensor platform by preventing direct contact between analytes and the transducer. The proposed pH sensor platform demonstrates effective sensitivity control at various amplification ratios. Stability and reliability are validated by investigating non-ideal effects, including hysteresis and drift. The CTF-type MOSFETs’ electrical characteristics, energy band diagrams, and programmable resistance modulation are thoroughly characterized. The results showcase remarkable stability, even under prolonged and repetitive operations, indicating the platform’s potential for accurate pH detection in diverse environments. This study contributes a robust and stable alternative for detecting micro-potential analytes, with promising applications in health management and point-of-care settings.

Enhanced buckling reduction factors using amplified imperfections for existing steel structures

The topic of the paper is the buckling analysis of existing structures having enlarged imperfections, which might reduce the buckling capacity during the reuse of steel structures. The research aims to develop global and local buckling reduction factors that take into account the presence of enlarged imperfections, which often are observed in existing steel structures. GMNI analyses are conducted on I- and box-section columns subjected to pure compression, incorporating accurate local and global imperfections treated as non-amplified imperfections. Multiple amplification ratios are used to enlarge the value of these imperfections within the numerical parametric study. The local and global buckling formulas specified in EN1993-1-5 and EN1993-1-1 were previously calibrated against GMNI analysis that considers the effect of residual stresses and geometrical imperfections. A calibration process is performed within the current study by modifying the value of the factor α in the global and local buckling formulas to obtain the buckling resistances determined by enlarged imperfections. The developed formulas are subsequently evaluated against the interaction buckling resistance of local and global buckling behaviour. Statistical measures are also employed to assess the resistances derived from the developed formulas against GMNI results for pure local, global, and interaction buckling resistances. This paper provides a tool for designers to estimate the buckling capacity when existing imperfections surpass those assumed during the design phase.

Working mechanisms and dynamic performances for a hydraulically damped bushing with an inertia track

Hydraulically damped bushings (HDBs), due to their superior elasticity and damping, are frequently employed in vehicle suspension systems to lower levels of noise, vibration, and harshness (NVH) of a vehicle. Although HDBs have similar configurations with well-known hydraulic engine mounts (HEMs), the working mechanism and dynamic performances of HDBs are still not clearly revealed. In this paper, efforts have been made to explain potential differences in performances of HEMs and HDBs with one inertia track. Comparisons and investigations are carried out in terms of geometry structures, dynamic modeling, and multiple characteristic parameters including equivalent mass and damping amplification ratios, as well as flow and pressure responses of inertia track fluid. Furthermore, a unified analytical model of a bush-type HEM, which is able to control the motion and vibration of an engine with compact powertrain space, is established to investigate dynamic characteristics of either HEM or HDB, so as to optimize NVH performances of a vehicle in the design stage.

Amplification Ratio of a Recycled Plastics-Compliant Mechanism Flexure Hinge

This research focuses on the fabrication of plastic flexure hinges from diverse plastics such as ABS, PP, HDPE, and LDPE. To enhance hinge efficiency, the recycling ratios are also investigated. The amplification ratio of different recycle ratios and plastic types are measured. The results show that the input and output displacements of all PP, ABS, and HDPE hinges are linear. The presence of recycled plastics has no impact on this basis. The pure PP, ABS, and HDPE flexure hinges achieve the highest amplification ratios of 5.728, 8.249, and 5.668. The addition of recycled plastics reduces the amplification ratio. This decrease in the amplification ratio, however, is small. At a 25% recycle ratio, the PP, ABS, and HDPE flexure hinges have 12%, 13.3%, and 21.7% lower amplification ratios than the pure plastic hinges. Furthermore, the utilization of recycled plastics may lessen the need for new plastic made from raw materials. With the PP flexure hinge, a maximum input value of 157 µm could result in an output value of 886 µm. At a maximum input value of 115 µm, the ABS flexure hinge could achieve an output value of 833 µm. Finally, a maximum input value of 175 µm might result in an output value of 857 µm when using the HDPE flexure hinge. The average amplification ratio values for all recycling ratios for PP, ABS, and HDPE flexure hinges are, respectively, 5.35, 7.60, and 5.02. The ABS flexure hinge frequently outperforms the PP and HDPE flexure hinge in terms of amplification ratios. Among these plastics, HDPE flexure hinges have the lowest amplification ratio. In general, increasing the thermoplastic polyurethane (TPU) content of the LDPE/TPU blend increases the amplification ratio. The cause could be the TPU’s high compatibility with the LDPE polymer. The LDPE/TPU blend hinge offers a broader range of the amplification ratio of 2.85–10.504 than the PP, ABS, and HDPE flexure hinges. It is interesting that changing the blend percentage has a much greater impact on the amplification ratio than changing the recycling ratio. The findings broaden the range of applications for plastic flexure hinges by identifying optimal plastic types. The impact of the hinge shape on the performance of the injected plastic flexure hinge might be studied in further research.

Rosen-Type Piezoelectric Transformers Based on 0.5Ba(Zr0.2Ti0.8)O3-0.5(Ba0.7Ca0.3)TiO3 Ceramic and Doped with Sb2O3.

In this study, the characteristics in the lead-free piezoelectric ceramic 0.5Ba(Zr0.2Ti0.8)O3-0.5(Ba0.7Ca0.3)TiO3 (0.5BZT-0.5BCT) were investigated to assess its potential for Rosen-type piezoelectric transformers. This piezoelectric ceramic has a piezoelectric charge coefficient d33 of 430 pC/N, an electromechanical coupling factor kp of 49%, a dielectric constant εr of 2836, a remnant polarization Pr of 4.98 μC/cm2, and a coercive electric field Ec of 2.41 kV/cm. Sb2O3 was soft doped with 0.05, 0.1, 0.15, and 0.2 mol%, respectively, and exhibited excellent physical properties at 0.1 mol%. Based on this, a piezoelectric transformer was fabricated and measured, and it showed better output characteristics than pure 0.5BZT-0.5BCT. The amplification ratio (Vout/Vin) was optimized based on the device geometry and properties of the piezoelectric material. Moreover, the output characteristics of the Rosen-type piezoelectric transformer were simulated with the PSpice program. Output values of the fabricated and simulated piezoelectric transformers for the r vibrational frequency were compared and analyzed. Accordingly, the step-up amplification ratios Vout/Vin of the fabricated and simulated devices at the vibrational frequency were compared as well. This piezoelectric transformer could replace silicon steel transformers and be used for the creation of black light and for laptop chargers.

Accounting for hysteretic characteristics in P‐delta analysis of structures

AbstractStudies in the literature have shown that P‐delta () effects are highly influenced by the hysteretic characteristics of a structural system. However, international buildings and bridge codes prescribe ‐induced amplification factors, limits for negligible effects and limits for dynamic instability that neglect this influence. As a result, different margins of safety against actions are currently specified for different structural systems, with steel structures, for example, presenting reduced margins of safety with respect to concrete structures. Adopting a sub‐set of the PEER earthquake record database composed of 1964 earthquake records, this paper presents a statistical analysis of displacement amplification ratios for systems with different hysteretic models, fundamental periods and ductility levels. In terms of both elastic and inelastic stability coefficients, limit values of the stability coefficient for negligible effects and dynamic instability are proposed for the most common structural typologies, such as steel, well and poorly detailed reinforced concrete, and self‐centering structures. Analytical estimates of the median, 84th and 98th percentile values of the displacement amplification that take into account the combined effect of stability coefficient, ductility level and hysteretic properties are proposed.

Design and test a pneumatically actuated microgripper based on structural stiffness.

In response to the problem that the actual amplification ratio of the compliant motion amplification mechanism cannot be further improved, this paper introduces a two-stage amplification microgripper based on structural stiffness that is driven by pneumatics. The mechanism not only has the advantages of good symmetry, compact structure, and large output displacement but can also reduce the relative error of the theoretical and experimental amplification ratios. The first-stage mechanism selects high-stiffness mechanisms and high-stiffness flexure hinges, and the second-stage mechanism uses low-stiffness mechanisms and low-stiffness flexure hinges. The arrangement order of the mechanism is determined by the working mode analysis. The specific dimensions of the mechanism and flexure hinges are determined through structural size optimization so that the amplification performance of the mechanism will be optimal. The experimental results show that the displacement amplification ratio of both the opening and closing of the microgripper is 41.8.

MODELING OF A DIGITAL COMMUNICATION SYSTEM WITH INTERFERENCE-RESISTANT CODING OVER DELAYED MULTIPATH CHANNELS FOR A FIXED WIRELESS ACCESS SYSTEM


 
 
 In this study, an analysis of the performance of a digital communication system was conducted to improve the efficiency of the communication channel. The system was de- signed and evaluated in the MatLab/Simulink environment, specifically for the transmission of binary data in a multipath channel with static fading. One of the main advantages of this system is its ability to provide high noise immunity, even in the presence of noise, interference, and signal delays. The performance of the system was investigated in terms of bit error rate (BER) over both an additive white Gaussian noise (AWGN) channel and a multipath Rayleigh fading channel. The study also considered the impact of inter-symbol interference (ISI) and explored different parameters for a static channel, resembling a wireless LAN system based on IEEE 802.11 (as defined by Rec ITU-R M.1225). This study uses a solution to suppress inter-symbol interference using cascading coding (convolutional turbo codes with Reed Solo- mon code), Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT), amplifiers at the transmitter side and normalizer at the receiver side, by regulating the amplification ratios of transmitter and receiver sides. Modeling of a digital communication system for a wide-band fixed wireless LAN system (for Indoor office and Outdoor to indoor systems) has been performed. The modeling outcomes show that the applied method provides a good per- formance improvement in channels with ISI with static fading.
 The application of cascading coding (turbo code together with RS code), amplifiers, and FFT on the transmitter side, and IFFT on the receiver side will eliminate the effects of inter-symbol interference on digital signals in a multipath channel with static fading (as defined by Rec. ITU-R M.1225 for internal and external transmission systems) for wireless fixed systems.
 
 

In situ estimation of effective rock elastic moduli by seismic ambient vibrations

In this study, we performed a non-invasive ambient noise investigation of unsaturated rock structures in the Bohemian Paradise (Bohemian Cretaceous Basin, Czech Republic). Our study focused on two key topics: 1) An in situ elastic moduli estimate of competent, horizontally deposited sandstone layers using ambient noise array measurements. Recordings were processed using an f-k array analysis, from which frequency-dependent Love and Rayleigh wave dispersion curves, as well as Rayleigh wave ellipticity, were retrieved. Data were inverted for the P- and S-wave velocity profiles, from which Young's and shear moduli were successfully estimated. 2) A study of the local response of the Kapelník rock tower. We analysed a dataset of ambient noise recordings obtained from the top of the tower and its foot. Information regarding tower oscillation frequencies and directions, together with amplification ratios, were retrieved from a particle motion polarisation analysis and from site-to-reference spectral ratios. Euler-Bernoulli beam theory was also employed for interpreting measured data using elastic moduli estimated from noise array measurements.

Treatment of De-Differentiated Liposarcoma in the Era of Immunotherapy.

Well-differentiated/de-differentiated liposarcoma (WDLPS/DDLPS) is one of the most common histologic subtypes of soft tissue sarcoma (STS); however, treatment options remain limited. WDLPS and DDLPS both exhibit the characteristic amplification of chromosome region 12q13-15, which contains the genes CDK4 and MDM2. DDLPS exhibits higher amplification ratios of these two and carries additional genomic lesions, including the amplification of chromosome region 1p32 and chromosome region 6q23, which may explain the more aggressive biology of DDLPS. WDLPS does not respond to systemic chemotherapy and is primarily managed with local therapy, including multiple resections and debulking procedures whenever clinically feasible. In contrast, DDLPS can respond to chemotherapy drugs and drug combinations, including doxorubicin (or doxorubicin in combination with ifosfamide), gemcitabine (or gemcitabine in combination with docetaxel), trabectedin, eribulin, and pazopanib. However, the response rate is generally low, and the response duration is usually short. This review highlights the clinical trials with developmental therapeutics that have been completed or are ongoing, including CDK4/6 inhibitors, MDM2 inhibitors, and immune checkpoint inhibitors. This review will also discuss the current landscape in assessing biomarkers for identifying tumors sensitive to immune checkpoint inhibitors.

Margined Horn-Shaped Air Chamber for Body-Conduction Microphone

The sound amplification ratios of sealed air chambers with different shapes were quantitatively compared to design a body-conduction microphone to measure animal scratching sounds. Recently, quantitative monitoring of scratching intensity in dogs has been required. We have already developed a collar with a body-conduction microphone to measure body-conducted scratching sounds. However, the air chamber, one of the components of the body-conduction microphone, has not been appropriately designed. This study compared the amplification ratios of air chambers with different shapes through numerical analysis and experiments. According to the results, the horn-shaped air chamber achieved the highest amplification performance, at least for sound frequencies below 3 kHz. The simulated amplification ratio of the horn-shaped air chamber with a 1 mm height and a 15 mm diameter was 52.5 dB. The deformation of the bottom of the air chamber affected the amplification ratio. Adjusting the margin of the margined horn shape could maintain its amplification ratio at any pressing force. The simulated and experimental amplification ratios of the margined horn-shaped air chamber were 53.4 dB and 19.4 dB, respectively.

Design and optimization of a decoupled serial constant force microgripper for force sensitive objects manipulation

AbstractTo address coupling motion issues and realize large constant force range of microgrippers, we present a serial two-degree-of-freedom compliant constant force microgripper (CCFMG) in this paper. To realize a large output displacement in a compact structure, Scott–Russell displacement amplification mechanisms, bridge-type displacement amplification mechanisms, and lever amplification mechanisms are combined to compensate stroke of piezoelectric actuators. In addition, constant force modules are utilized to achieve a constant force output. We investigated CCFMG’s performances by means of pseudo-rigid body models and finite element analysis. Simulation results show that the proposed CCFMG has a stroke of 781.34 ${\unicode[Times]{x03BC}}\mathrm{m}$ in the X-direction and a stroke of 258.05 ${\unicode[Times]{x03BC}}\mathrm{m}$ in the Y-direction, and the decoupling rates in two directions are 1.1% and 0.9%, respectively. The average output constant force of the clamp is 37.49 N. The amplification ratios of the bridge-type amplifier and the Scott–Russell amplifier are 7.02 and 3, respectively. Through finite element analysis-based optimization, the constant force stroke of CCFMG is increased from the initial 1.6 to 3 mm.

Abstract 6162: High resolution detection of HER2 copy number variation in admixed breast cancer cell lines and HER2+ FFPE donor tissue using a digital PCR multigene reference panel

Abstract The measurement of HER2 (ERBB2) gene amplification guides both the prognosis and treatment of breast cancer, as amplification correlates with worse outcomes and the recommendation for anti-HER2 treatment. Digital PCR (dPCR) can serve as a useful tool for the direct quantification of copy number variants (CNV) in this gene, without the need for calibration standards as required for qPCR, or labor-intensive histological techniques such as FISH. Furthermore, increasing the number of available partitions in a digital PCR reaction can yield substantial gains in precision, thus offering the potential for ultra-high resolution discrimination of copy number changes. In this study, we evaluated the utility of a multiplex dPCR assay for the high-resolution detection of HER2 copy number variation in clinically relevant samples. The precision achievable by digital PCR correlates with the number of partitions, and the resolution of small CNV differences greatly relies on high precision. We utilized a dPCR setup with ~100,000 physical partitions per reaction, which allowed for a theoretical precision (relative confidence) of 1%, assuming optimal input and template. Five single-plex primer and probe sets, published by the National Institute of Standards and Technology, were assembled and optimized into a multiplex configuration. The final 5-plex consisted of four reference genes and HER2 as the target of interest. The accuracy and precision of the optimized five-plex assay was tested in nine breast cancer cell lines with established HER2 amplification ratios, ranging from 1.3 to 70 fold. The assay demonstrated the precise and accurate measurement of the HER2 amplification ratio across all nine cell lines over a wide dynamic range of sample input. Along with increasing the reaction partition number, the use of multiple reference genes also improved the precision of the HER2 amplification ratio measurement and avoided inaccurate copy number calls due to outlier references. The resolution of the assay was evaluated using admixed samples simulating low tumor fraction. A minimum of a 1.03 fold difference (3% difference from wild type) was detected with statistical significance. Assay concordance was evaluated against IHC-characterized HER2+ FFPE donor tissue with concordant FISH/CISH results. The assay demonstrated robust performance in clinically relevant sample types, supporting further investigation of dPCR as a complementary or even alternative diagnostic approach to current methods. Citation Format: Tyler Landrith, Samantha Smith, Jennifer Chan, Mari Christensen, Yu Chuan Tai, Megan Gonzales, William Yee, Nicolas Newton, Wouter Pattje, Patrick Bogard, Wei Yang. High resolution detection of HER2 copy number variation in admixed breast cancer cell lines and HER2+ FFPE donor tissue using a digital PCR multigene reference panel [abstract]. In: Proceedings of the American Association for Cancer Research Annual Meeting 2023; Part 1 (Regular and Invited Abstracts); 2023 Apr 14-19; Orlando, FL. Philadelphia (PA): AACR; Cancer Res 2023;83(7_Suppl):Abstract nr 6162.

Relationship between SDOF-Input-Energy and Fourier Amplitude Spectral Amplification Ratios

ABSTRACT This article presents the theoretical relationship between the site amplification ratio of the input energy spectrum for a single-degree-of-freedom system (SDOF) and that of the Fourier amplitude spectrum (FAS). The relationship indicates that the input energy spectral ratio is the result of smoothing the square of the Fourier amplitude spectral ratio. The spectral window for smoothing is determined by the bedrock-motion FAS and the oscillator transfer function for the relative velocity. The characteristics of the input energy spectral ratio were derived based on the idea of smoothing and confirmed based on real seismic records. The findings of this study contribute to a better understanding of site effects on the input energy spectrum.

Topology optimization design of compliant amplification mechanisms with low parasitic displacement

Compliant amplification mechanisms amplify input displacement in the desired output direction. However, owing to structural design, parasitic motion can easily be produced in an unexpected direction. The parasitic motion has a negative effect on the motion accuracy of the mechanism. To solve this problem, a topology optimization method for compliant amplification mechanisms with low parasitic displacement was proposed. Based on the variable density topology optimization method, the topology optimization model of the compliant amplification mechanism was established with the goal of increasing the output displacement and reducing the parasitic displacement. Volume ratio was set as constraint condition. The optimization criterion method were used to solve the problem and topology optimized amplification mechanisms (TOAMs) were obtained. Simultaneously, the configuration characteristics and displacement amplification ratios of the mechanism under different virtual spring stiffnesses were compared. To verify the validity of the method, the performance of the TOAM and the typical amplification mechanism (TAM) were compared using finite element simulation. The displacement amplification ratio is 5.95 and 3.17, and the relative parasitic displacement is 0.6% and 10.27%, respectively. Finally, the performance of the TOAM and the TAM was verified by experiments. The displacement amplification ratio is 5.72 and 3.06, and the relative parasitic displacement is 0.95% and 10.64%, respectively. Simulation and experimental results show that the TOAM has a larger displacement amplification ratio and a lower parasitic displacement, which verifies the validity of this method.