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2021

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Full-Text Articles in Engineering Mechanics

Validation Of Computational Model Of A Piezoelectric Flow Rate Sensor, Eben Roberto Escobedo Dec 2021

Validation Of Computational Model Of A Piezoelectric Flow Rate Sensor, Eben Roberto Escobedo

Open Access Theses & Dissertations

This study validates a computational simulation of a piezoelectric cantilever beam undergoing different loads by showing a comparison of its results against theoretical calculations. The objective of the computational model is to simulate the behavior of a beam made of a piezoelectric material which can be used as a flow rate sensor due to the ability of the material to convert a mechanical load into an electrical load. After validating the model, different geometries, material properties and loads can be simulated to observe the different behaviors and bring the possibility of selecting the most convenient options according to the needs …


Me-Em 2020-21 Annual Report, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University Oct 2021

Me-Em 2020-21 Annual Report, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University

Department of Mechanical and Aerospace Engineering Annual Reports

Table of Contents

  • Responsive Research
  • Alumni Impact
  • Innovative Enterprises
  • Enrollment & Degrees
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  • Patents & Publications


Me-Em Enewsbrief, September 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University Oct 2021

Me-Em Enewsbrief, September 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University

Department of Mechanical and Aerospace Engineering eNewsBrief

No abstract provided.


Effects Of Fiber Clustering On Fatigue Behavior Of Steel Fiber Reinforced Concrete Beams, Danying Gao, Zhiqiang Gu, Congjie Wei, Chenglin Wu, Yuyang Pang Sep 2021

Effects Of Fiber Clustering On Fatigue Behavior Of Steel Fiber Reinforced Concrete Beams, Danying Gao, Zhiqiang Gu, Congjie Wei, Chenglin Wu, Yuyang Pang

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

This paper investigated the effects of fiber clustering on fatigue behavior of steel-fiber-reinforced concrete (SFRC) beams with reinforcements by experimental and numerical analysis. The steel fiber volume fractions of beams were 0 vol%, 0.5 vol%, 1.0 vol%, and 1.5 vol%. One beam was tested under static loading, and eight beams under fatigue loading with different stress levels. Moreover, the fiber distribution in the cross section of concrete was experimentally characterized to understand the underlying mechanism. The results indicated that the fatigue life of beam increased with increasing fiber volume fraction from 0 to 1.0 vol% and decreased from 1.0 vol% …


Uzbekistan Road Climate-Conditions For Laying A Mixture Of Hot, Coarse-Grained Porous Asphalt Instead Of A Mixture Of High Porous Asphalt With Hot, Coarse-Grained Crushed Stone For Regions, S.Z. Kurbonov Sep 2021

Uzbekistan Road Climate-Conditions For Laying A Mixture Of Hot, Coarse-Grained Porous Asphalt Instead Of A Mixture Of High Porous Asphalt With Hot, Coarse-Grained Crushed Stone For Regions, S.Z. Kurbonov

The Scientific Journal of Vehicles and Roads

The article presents the differences in the application of hot large-grain crushed stone high-porous asphalt concrete mixture and hot, large-grain porous asphalt mixture in Asphalt Paving and road paving construction. The properties of these two types of mixtures, their importance in road junction construction and their feasibility were compared.


Reducing The Impact Of Heavy-Weight Cars On The Deformation Of Asphalt Concrete Coatings, I.S Sodiqov, A.M Qoraboyev, F.B. Ashurov Sep 2021

Reducing The Impact Of Heavy-Weight Cars On The Deformation Of Asphalt Concrete Coatings, I.S Sodiqov, A.M Qoraboyev, F.B. Ashurov

The Scientific Journal of Vehicles and Roads

Article showcase transport is a tool influencing the carving of kolasgii shik is recommended by ishlab chikilgan. Master transport toolkit uchun minimal tsliklar ishlab chikilgan. "Superpave" tizima Republic of Uzbekistan review meteorlik stationyalarda uzakrdonidli kuzatishlar natijalaran climatimiy obrazovannyfan foidalanib, Uzbekistan erogen yulladalamisining extreme the most famous moral, in taular (PG) bulibliblib, tour now. Odinda kunning is precisely known as the pastime of Amir car kunning avatlanishiga Odinga chekllar Zhorin ethildi.


Yо‘L Harakatini Tashkil Etish Sohasidagi Mavjud Muammolar, Ularning Oqibatlari, Bartaraf Etishga Doir Vazifalar Va Takliflar, I.S. Sodiqov, А.A. Sattorov Aug 2021

Yо‘L Harakatini Tashkil Etish Sohasidagi Mavjud Muammolar, Ularning Oqibatlari, Bartaraf Etishga Doir Vazifalar Va Takliflar, I.S. Sodiqov, А.A. Sattorov

The Scientific Journal of Vehicles and Roads

Avtotransport vositalari sonining oshib borayotganligi ularning xavfsizligini ta’minlash va yо‘l harakatini tashkil etishning davr talablariga muvofiq bо‘lgan normativ-huquqiy bazasini ham birdek takomillashtirib borishni taqozo etadi. О‘zbekiston Respublikasida yо‘l harakati xavfsizligi sohasidagi munosabatlar О‘zbekiston Respublikasining “Yо‘l harakati xavfsizligi tо‘g’risida”gi qonuni normalari asosida tartibga solingan


Qattiq Maishiy Chiqindilarni Tekislashda Buldozer Otvalining Samaradorlik Kо‘Rsatkichini Aniqlash, N.R. Aslonov, S.M. Mirxoliqov Aug 2021

Qattiq Maishiy Chiqindilarni Tekislashda Buldozer Otvalining Samaradorlik Kо‘Rsatkichini Aniqlash, N.R. Aslonov, S.M. Mirxoliqov

The Scientific Journal of Vehicles and Roads

Qattiq chiqindilarni utilizasiyalashtirish, kо‘plab rivojlangan va rivojlanayotgan mamlakatlarning shaharlarida ham, qishloq tumanlarida ham juda muhim va keng tarqalgan muammo hisoblanadi. Qattiq maishiy chiqindilarni yig’ish va utilizasiyalashtirish bugungi kunda jahonning kо‘plab mamlakatlarini shahar muhitining asosiy muammolaridan biri. Qattiq maishiy chiqindilarni boshqarish bо‘yicha qarorlar moliyaviy turg’un, texnik amalga oshiriluvchan, ijtimoiy, yuridik maqbul va ekologik toza bо‘lishi kerak. Qattiq chiqindilarni boshqarish masalasi, ham kichik, ham katta shaharlarning xokimiyatlari uchun juda katta muammo hisoblanadi.


Performance Of Calcium Chloride- Ammonia Adsorption Refrigeration System, Michael John Jul 2021

Performance Of Calcium Chloride- Ammonia Adsorption Refrigeration System, Michael John

Tanzania Journal of Engineering and Technology (TJET)

An experimental study on the performance of calcium chloride-ammonia adsorption system is described. A single bed water cooled condenser adsorption refrigerator prototype, which utilises calcium chloride-ammonia pair has been developed and tested in the laboratory. Experiments have been conducted for desorption temperatures of 100 °C with desorption time varying from 1 to 4 hours. An electric tape heater and a timer were used to perform the experiments. The adsorption temperature profile, adsorption rate and prototype performance have been analysed and discussed. The tested heating and desorption temperature of 100 °C and heating and desorption time of 1 to 4 hours …


Assessment Of The Impacts Of Climate Variability On Hydropower Generation: A Case Study Of The New Pangani Falls, Tanzania, Dativa Byarufu Jul 2021

Assessment Of The Impacts Of Climate Variability On Hydropower Generation: A Case Study Of The New Pangani Falls, Tanzania, Dativa Byarufu

Tanzania Journal of Engineering and Technology (TJET)

Climate change poses potential impacts on hydropower generation either positively by increasing or negatively by decreasing river flow. This study assessed the impacts of climate variability on hydropower with a focus on the New Pangani Falls in Tanzania. Rainfall and temperature time series data from 1980-2014 were analyzed in relation to river discharge and associated impacts to hydropower generation. The Man-Kendall test was used to detect trend in both annual and seasonal time series. The results showed a negative trend in annual rainfall with Z= -2.41 at α = 0.05 and the slope Q = -0.964. Seasonal trend analysis showed …


Performance Evaluation Of Gas Lift Valves Using Numerical Simulation, Felipe Simoes Maciel Jul 2021

Performance Evaluation Of Gas Lift Valves Using Numerical Simulation, Felipe Simoes Maciel

LSU Master's Theses

This work aimed to assess the performance of two numerical simulation methods to replicate flow capacity test (FCT) results and predict the flow coefficient (Cv) and critical pressure ratio (Rcp) of gas lift valves (GLVs). FCT's use a modified GLV with an adjustable stem positioning system to obtain pressure as a function of flow rate for different stem positions to calculate Cv and Rcp. Therefore, this study used both a one-dimensional (1D) mechanistic model and computational fluid dynamics (CFD) to predict the same variable from the FCT without tests using modified GLVs. This methodology demonstrates accurate results, which were compared …


Justification Of The Parameters Of The Working Body For Loosening The Furrows Between The Ridges, Xurshed Abdulkhayev Jul 2021

Justification Of The Parameters Of The Working Body For Loosening The Furrows Between The Ridges, Xurshed Abdulkhayev

Scientific-technical journal

The article presents the results of theoretical studies on the justification of the angles of crumbling and solution of the wings of the pointed paw of the developed machine for pre-sowing treatment of ridges, the angle of its entry into the soil and the width of the grip. At the same time, based on the conditions for ensuring high-quality loosening of the soil with minimal energy consumption, the sliding of plant residues and weeds along the blades of the wings of the pointed paw and the descent from them, analytical dependences are obtained to determine the angles of crumbling and …


Development Of Novel Battery Materials For Lithium-Ion Batteries And Beyond, Jiyu Cai Jul 2021

Development Of Novel Battery Materials For Lithium-Ion Batteries And Beyond, Jiyu Cai

Graduate Theses and Dissertations

As fossil fuels are depleting and causing environmental issues, it becomes imperative to widely implement renewable energies (e.g., solar and wind power). In this context, electrical energy storage (EES) systems are essential to accommodate the intermittent supply and uneven distribution of renewable energies. To this end, high-energy-density EES devices are highly demanded, such as rechargeable batteries. This dissertation presents my efforts in developing novel battery materials for lithium-ion batteries (LIBs), sodium-ion batteries (SIBs), and solidstate lithium batteries (SSLBs). These efforts include electrochemical evaluations of battery materials, surface modifications of electrodes via atomic layer deposition (ALD), and advanced characterizations of batteries …


Phase-Field Modeling Of The Polymer Membrane Formation Process For Micro- And Ultra-Filtration, Michael Rosario Cervellere Jul 2021

Phase-Field Modeling Of The Polymer Membrane Formation Process For Micro- And Ultra-Filtration, Michael Rosario Cervellere

Graduate Theses and Dissertations

Porous polymer membrane filters are widely used in separation and filtration process. Micro- and ultra-filtration membranes are commonly used in biopharmaceutical applications such as filtering viruses and separating proteins from a carrier solution. The formation of these membrane filters via phase inversion is a complex and interconnected process where varying casting conditions can have a wide variety of effects on the final membrane morphol- ogy. Tailoring membrane filters for specific performance characteristics is a tedious and time consuming process. The time and length scales of membrane formation make it extremely difficult to experimentally observe membrane formation. Modeling the membrane formation …


Influence Of Extracellular Matrix Stiffness And Topography On Neuronal Cell Behavior And Neurite Outgrowth, Mohan Yasodharababu Jul 2021

Influence Of Extracellular Matrix Stiffness And Topography On Neuronal Cell Behavior And Neurite Outgrowth, Mohan Yasodharababu

Graduate Theses and Dissertations

The focus of regeneration therapy for traumatic brain injuries and Alzheimer's disease is on the promotion and growth of neuronal cells. In vitro research attempts to improve this by modifying the stiffness and topography of the extracellular matrix (ECM). However, the limitations of in vitro experiments make it difficult to control the individual factors influencing neuronal cell growth. A computational model can be used to decouple individual factors and study them individually to gain a better understanding of the mechanics between the neuronal cell and ECM, which will aid in the design of in vitro experimental studies.

This study develops …


Optimization Of Vaccine Supply Chains In Low- And Middle-Income Countries Utilizing Drones, Maximilian Kolter Jul 2021

Optimization Of Vaccine Supply Chains In Low- And Middle-Income Countries Utilizing Drones, Maximilian Kolter

Graduate Theses and Dissertations

Despite tremendous efforts from governments and humanitarian organizations, millions of children in low- and low-middle-income countries (LICs and LMICs) are still excluded from the benefits of immunization. The vaccine distribution in LICs and LMICs is challenging for several reasons, such as limited cold chain capacities, vaccine wastage, uncertain demand, and lack of access to immunization services. A promising avenue to address these issues is the utilization of drones for vaccine delivery. Drones can fly at high speed on direct paths and could enable on-demand deliveries to mitigate limited storage capacities. Further, their independence of road networks could allow them reaching …


Electrochemical Deposition In Energy Storage Devices, Witness Atutala Martin Jul 2021

Electrochemical Deposition In Energy Storage Devices, Witness Atutala Martin

Graduate Theses and Dissertations

Metals, whether in a solid or soluble ion form, are a vital part of any electrochemical storage system. More so, Li metal is widely considered as the ideal anode because of its low density and low electrochemical potential (-3.04 V vs. the standard hydrogen electrode – SHE). However, just like most metals, it does not plate or strip evenly during cycling which can lead to cycling performance issues, short cycling lifespans, and even safety concerns brought about by dendrites that can cause internal short-circuiting within cells. This research focused on investigating the electroplating of metals in both aqueous and non-aqueous …


Design, Synthesis, And Optimization Of Additively Manufactured Functional Ceramics And Its Composites, Anabel Renteria Marquez Jul 2021

Design, Synthesis, And Optimization Of Additively Manufactured Functional Ceramics And Its Composites, Anabel Renteria Marquez

Open Access Theses & Dissertations

The goal of this research consist in the design, synThesis and optimization of functional piezoelectric ceramics and composites that can be fabricated by Direct Ink Write (DIW) 3D printing technique for the use of sensors and energy storage applications. The synThesis optimization of lead-free ceramics for printing was evaluated by analyzing the impact of raw particle size of BaTiO3. A novel approach to evaluate the effect of bimodal distribution raw particle size of BaTiO3 ceramics is presented and their influence on packing density, piezoelectric coefficient and dielectric relative permittivity. Additionally, multi-material DIW printing was adapted as a novel method to …


Atomistic Thermo-Mechanical Description Of The Deformation Behavior, Scaling Laws, And Constitutive Modeling Of Nanoporous Gold, Mohammed Hassan Yousef Saffarini Jun 2021

Atomistic Thermo-Mechanical Description Of The Deformation Behavior, Scaling Laws, And Constitutive Modeling Of Nanoporous Gold, Mohammed Hassan Yousef Saffarini

LSU Doctoral Dissertations

Metallic foams, or nanoporous (NP) metals as it is widely referred to in literature, with ligament sizes up to a few tens of nm show exceptional mechanical properties such as high strength and stiffness per weight ratio under different loading scenarios due to their high surface area to solid volume ratio. Therefore, they can be utilized in a wide range of applications making them of great interest to researchers. While their elasticity and yield strength have been the subject of several studies, very limited attention was given to the effect of size, strain rate, and temperature on the material plastic …


Fluid-Structure Interaction Of Nrel 5-Mw Wind Turbine, Mohamed Sayed Elkady Abd-Elhay Jun 2021

Fluid-Structure Interaction Of Nrel 5-Mw Wind Turbine, Mohamed Sayed Elkady Abd-Elhay

Theses and Dissertations

Wind energy is considered one of the major sources of renewable energy. Nowadays, wind turbine blades could exceed 100 m to maximize the generated power and minimize produced energy cost. Due to the enormous size of the wind turbines, the blades are subjected to failure by aerodynamics loads or instability issues. Also, the gravitational and centrifugal loads affect the wind turbine design because of the huge mass of the blades. Accordingly, wind turbine simulation became efficient in blade design to reduce the cost of its manufacturing. The fluid-structure interaction (FSI) is considered an effective way to study the turbine's behavior …


The Effects Of The Transient And Performance Loss Rates On Pv Output Performance, Chibuisi Chinasaokwu Okorieimoh, Brian Norton, Michael Conlon Jun 2021

The Effects Of The Transient And Performance Loss Rates On Pv Output Performance, Chibuisi Chinasaokwu Okorieimoh, Brian Norton, Michael Conlon

Conference papers

Solar photovoltaic (PV) panels experience long-term performance degradation as compared to their initial performance, resulting in lower like-per-like efficiencies and performance ratios. Manufacturers of solar photovoltaic modules normally guarantee a lifespan of more than 20 years. To meet such commitments, it is important to monitor and mitigate PV module degradation during this period, as well as beyond, to recognize maintenance and repair needs. Solar PV modules degrade over time, becoming less effective, less reliable, and eventually unusable. The effects of transient and performance loss rates on the output performance of polycrystalline silicon (p-Si) solar PV modules are the focus of …


Me-Em Enewsbrief, June 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University Jun 2021

Me-Em Enewsbrief, June 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University

Department of Mechanical and Aerospace Engineering eNewsBrief

No abstract provided.


Criteria For Assessing The Provision Of Transport Services To Passengers In The Urban Community, А. Nazarov, А. Ustaboyev May 2021

Criteria For Assessing The Provision Of Transport Services To Passengers In The Urban Community, А. Nazarov, А. Ustaboyev

The Scientific Journal of Vehicles and Roads

The article presents the criteria for assessing the provision of transport services to passengers in the city public sector. As the main criterion for the provision of services in the church environment, the time spent by passengers to navigate on the road and the organizers of it were taken. Based on these criteria is based on the parameters of the transport service provision to passengers.


Securing Pint Glasses On Serving Trays With Magnetic Attachments, Jayden Commendatore Apr 2021

Securing Pint Glasses On Serving Trays With Magnetic Attachments, Jayden Commendatore

Senior Theses

It is extremely common for servers in the restaurant industry to have pint glasses slip off their serving tray, wasting both time and money for the restaurant. I have designed a sleeve attachment that will clip on to the bottom of a pint glass. The metal sleeve attachment will be attracted to a magnet placed into the serving tray. This increases the normal force of the pint glass, resulting in an increase in the friction force between the tray and sleeve attachment, and helping secure the glass to the tray. In order to optimize the design, the value of the …


Solid-State Transducer, System, And Method, Andrew Barnard Mar 2021

Solid-State Transducer, System, And Method, Andrew Barnard

Michigan Tech Patents

The present disclosure includes solid-state transducers, a system, and a method. In one embodiment, a solid-state transducer includes a housing, a first end portion, a second end portion, a plurality of electrical conductors, and a thin-film resistive material. The thin-film resistive material is disposed between and in electrical communication with a plurality of electrical conductors. The thin-film resistive material is configured to receive one or more electrical signals from the plurality of electrical conductors, and generate thermal oscillations to create pressure waves in a medium in response to receiving the one or more electrical signals.


Me-Em Enewsbrief, March 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University Mar 2021

Me-Em Enewsbrief, March 2021, Department Of Mechanical Engineering-Engineering Mechanics, Michigan Technological University

Department of Mechanical and Aerospace Engineering eNewsBrief

No abstract provided.


A Single-Stage Passive Vibration Isolation System For Scanning Tunneling Microscopy, Toan T. Le Feb 2021

A Single-Stage Passive Vibration Isolation System For Scanning Tunneling Microscopy, Toan T. Le

Master's Theses

Scanning Tunneling Microscopy (STM) uses quantum tunneling effect to study the surfaces of materials on an atomic scale. Since the probe of the microscope is on the order of nanometers away from the surface, the device is prone to noises due to vibrations from the surroundings. To minimize the random noises and floor vibrations, passive vibration isolation is a commonly used technique due to its low cost and simpler design compared to active vibration isolation, especially when the entire vibration isolation system (VIS) stays inside an Ultra High Vacuum (UHV) environment. This research aims to analyze and build a single-stage …


Mini Rc Baja Car, Jason Schindler Jan 2021

Mini Rc Baja Car, Jason Schindler

All Undergraduate Projects

Incorporating each aspect of engineering incorporated into a senior project is difficult. That is why an RC Baja car is a great senior project for Mechanical Engineering students. The approach that students must take to design, construct, and test the car is to set parameters, and to make overall goals that can be easily measured. These goals include, but not limited to things like a $700 budget and the ability to withstand a 1-foot drop to a flat surface on all four wheels simultaneously. First, the design must meet the specifications and rules that are set previously. This ensures that …


Hydraulic Balsa Wood Rising Bridge, Kaitlyn Greenfield Jan 2021

Hydraulic Balsa Wood Rising Bridge, Kaitlyn Greenfield

All Undergraduate Projects

What is the solution to allowing tall vessels to navigate past a vehicle bridge that is less than 10 [ft] above the water? To answer this question, a balsa wood bridge was designed, constructed, and tested. The bridge needed to articulate by mechanical means, allow for travel through the bridge, and be able to withstand ample force while the main structure only being constructed of balsa wood and glue. The project was analyzed in sections. These sections include: the bridge structure and its members, the hydraulic lift, and the pins needed for the bridge and hydraulic lift to operate. The …


หุ่นยนต์ 3 มิติชนิดจับที่ปลายแบบรับรู้แรงเพื่อการฟื้นฟูรยางค์ส่วนบน, เกวลี อัศวะไพฑูรย์เสริฐ Jan 2021

หุ่นยนต์ 3 มิติชนิดจับที่ปลายแบบรับรู้แรงเพื่อการฟื้นฟูรยางค์ส่วนบน, เกวลี อัศวะไพฑูรย์เสริฐ

Chulalongkorn University Theses and Dissertations (Chula ETD)

งานวิจัยนี้มีวัตถุประสงค์เพื่อออกแบบต้นแบบหุ่นยนต์ 3 มิติชนิดจับที่ปลายแบบรับรู้แรงที่มีระบบควบคุมทางพลศาสตร์และโปรแกรมควบคุมการทำงาน เพื่อการประยุกต์ใช้ในการฟื้นฟูรยางค์ส่วนบน โดยงานวิจัยนี้ได้ออกแบบและพัฒนาต้นแบบหุ่นยนต์ที่มีชื่อว่าหุ่นยนต์ 3DEE (3D End-effector Manipulator Arm) ซึ่งเป็นหุ่นยนต์กายภาพบำบัดชนิดจับที่ปลายที่มีจุดสัมผัสอยู่ที่บริเวณข้อมือ มีลักษณะโครงสร้างเป็น 3-dimensional five-bar linkage manipulator ซึ่งสามารถเคลื่อนไหวใน 3 มิติได้และมีโครงสร้างที่ไม่ซับซ้อน อีกทั้งหุ่นยนต์ยังถูกออกแบบให้เหมาะสำหรับหุ่นยนต์กายภาพบำบัดและคำนึงถึงความปลอดภัยของผู้ใช้เป็นหลัก ระบบควบคุมที่ใช้ในงานวิจัยนี้เป็นระบบควบคุมกำแพงเสมือนแบบสปริงและตัวหน่วงสำหรับโปรแกรมอุโมงค์เสมือนที่เหมาะสำหรับให้ผู้ป่วยได้ออกแรงเคลื่อนไหวเองโดยมีหุ่นยนต์ประคองให้อยู่ในเส้นทางเท่านั้น โปรแกรมถูกออกแบบให้สามารถปรับค่าพารามิเตอร์ต่างๆ บันทึกข้อมูลและแสดงผลข้อมูลได้ การทดสอบหุ่นยนต์เริ่มจากการทดสอบความแม่นยำของส่วนชดเชยน้ำหนักของแขนหุ่นยนต์ก่อนซึ่งเป็นส่วนสำคัญส่วนหนึ่งของระบบควบคุม ซึ่งผลที่ได้นำมาสรุปได้ว่าส่วนชดเชยน้ำหนักของแขนหุ่นยนต์มีความแม่นยำที่มาก ตามด้วยการทดสอบประสิทธิภาพของระบบควบคุม ซึ่งผลที่ได้แสดงให้เห็นว่าระบบควบคุมนี้สามารถช่วยให้เคลื่อนไหวในเส้นทางที่กำหนดได้อย่างสะดวก อีกทั้งยังออกนอกเส้นทางได้ยาก