<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">WJET</journal-id><journal-title-group><journal-title>World Journal of Engineering and Technology</journal-title></journal-title-group><issn pub-type="epub">2331-4222</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/wjet.2016.42029</article-id><article-id pub-id-type="publisher-id">WJET-66731</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Modal Analysis of Battery Box Based on ANSYS
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jianong</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiaoyu</surname><given-names>Zhao</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Automotive Engineering, Shanghai University of Engineering and Science, Shanghai, china</addr-line></aff><pub-date pub-type="epub"><day>29</day><month>04</month><year>2016</year></pub-date><volume>04</volume><issue>02</issue><fpage>290</fpage><lpage>295</lpage><history><date date-type="received"><day>9</day>	<month>May</month>	<year>2016</year></date><date date-type="rev-recd"><day>accepted</day>	<month>22</month>	<year>May</year>	</date><date date-type="accepted"><day>25</day>	<month>May</month>	<year>2016</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  At present, the development of the traditional car is more and more troubled by the high cost of environmental pollution and oil prices, many countries have paid increasingly attention to the research and development of electric vehicles. And vehicle battery box, as the heart of the automobile power system, and many difficulties still exist in its research and development. This paper is based on ANSYS. By using the finite element theory, it is to analyze the modal characteristics of the battery box and frequency vibration characteristics. Having a more comprehensive grasp of the dynamic performance of the battery box is the key to solve the new energy automotive research and development of issues.
 
</p></abstract><kwd-group><kwd>New Energy</kwd><kwd> Battery Box</kwd><kwd> Finite Element Theory</kwd><kwd> Mode Analysis</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Starting in 1990s, the research and development of electric vehicles have been valued by the world’s major automobile groups, and have received strong support from all countries. After nearly 30 years of research, many important achievements have been made in the field of battery, control system and so on. At present, almost all major automobile groups have the corresponding electric vehicles listed, electric cars will be more and more occupied the car market [<xref ref-type="bibr" rid="scirp.66731-ref1">1</xref>] .</p><p>In recent years, with the continuous development and progress of science and technology, the development of electric vehicles has made some remarkable achievements. Power battery is not only the direct energy source of pure electric vehicles, but also has a certain impact on the performance of electric vehicles. The battery pack has a direct relationship to the safety performance of the whole vehicle, and as a battery carrier, the cell box, it’s safety and protection of the battery and irreplaceable important role, there for, battery box design has need to consider many factors [<xref ref-type="bibr" rid="scirp.66731-ref2">2</xref>] . Especially, the small pure electric vehicles, as space is limited, and so it must more storage capacity of the battery in the battery box body into, and must also be between vehicle and achieve perfect match. Therefore, design of the battery box has a very high requirement.</p></sec><sec id="s2"><title>2. Principles in the Modal Analysis</title><p>Modal analysis is a method to study the dynamic characteristics of structure, process analysis, if it is obtained by the finite element method is known for computing modal analysis; if will be collected through the test of system input and output signal through the parameter identification obtained modal parameters, known for experimental modal analysis. Computational modal analysis method has been applied in many product developments, especially in the automotive field, and it is very important to calculate the modal analysis. Modal analysis of the structure is to calculate the natural frequency and vibration mode of the structure, natural frequency and vibration mode are the natural vibration characteristics of the structure under the condition of outside influence [<xref ref-type="bibr" rid="scirp.66731-ref3">3</xref>] .</p><p>For the finite element analysis of the dynamic response of the structure, the final equilibrium equation of the structure is as follows:</p><disp-formula id="scirp.66731-formula71"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x7.png"  xlink:type="simple"/></disp-formula><p>Modal analysis is an analysis of the vibration characteristics of the structure under free vibration, and the damping is generally negligible, then it becomes as follows: the free vibration equation:</p><disp-formula id="scirp.66731-formula72"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x8.png"  xlink:type="simple"/></disp-formula><p>The free vibration of the elastic body can be transformed into a combination of a series of simple vibrations, which can be used to obtain the natural frequencies of the free vibration and the modes of each order:</p><disp-formula id="scirp.66731-formula73"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x9.png"  xlink:type="simple"/></disp-formula><p>Then put formula (3) into the Equation (2):</p><disp-formula id="scirp.66731-formula74"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x10.png"  xlink:type="simple"/></disp-formula><p>When the structure free vibration, the amplitude of each point in the structure will not be completely zero, so the value of the matrix determinant in the above formula must be zero, so the free vibration frequency equation can be described as follow:</p><disp-formula id="scirp.66731-formula75"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x11.png"  xlink:type="simple"/></disp-formula><p>Stiffness matrix [K] and mass matrix [M] are all n matrix, where n is the number of node degrees of freedom, so the formula is about n times real coefficient equation of. From the solution of N real root<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/18-1560320x12.png" xlink:type="simple"/></inline-formula>, the characteristic value is obtained according to the ascending order as follows:</p><disp-formula id="scirp.66731-formula76"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/18-1560320x13.png"  xlink:type="simple"/></disp-formula><p>The corresponding vector <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/18-1560320x14.png" xlink:type="simple"/></inline-formula> can be solved by the return equation of any <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/18-1560320x15.png" xlink:type="simple"/></inline-formula> generation. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/18-1560320x16.png" xlink:type="simple"/></inline-formula>are the first order of the structure, the natural frequency of the second order to the n order, Cor- responding to<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/18-1560320x17.png" xlink:type="simple"/></inline-formula>. Respectively are the structure of the first order, the second order, the first n order of the main type, that is, the natural mode of vibration.</p></sec><sec id="s3"><title>3. Modal Analysis of Battery Box</title><p>Electric vehicle battery box working in the waste harsh environment, the deformation of some parts will directly affects the electric vehicle battery box normal safe operation. Therefore, it is necessary to analysis the mode of electric vehicle battery box to calculate natural frequencies and mode shapes of the electric vehicle battery box [<xref ref-type="bibr" rid="scirp.66731-ref4">4</xref>] . Due to the finite element modal analysis is a linear analysis, so even if the process of calculation can be defined in some nonlinear factors, in the calculation process will be ignored. In this paper, the modal calculation of the box structure of the electric vehicle power battery is selected as the modal calculation module of ANSYS, and there are three ways to extract the modal frequency: Lanczos, Subspace and AMS. Default method of ANSYS is Lanczos method, with more general operation ability, can extract multi order modal calculation results, calculation don’t need too high performance computer, very suitable for modal of shell element and solid element mixture model to calculate, the electrical dynamic vehicle battery box structure using ANSYS default Lanczos method [<xref ref-type="bibr" rid="scirp.66731-ref5">5</xref>] .</p><sec id="s3_1"><title>3.1. Modal Analysis Results</title><p>In this paper, the first 4 order constraint modes of the battery box are calculated, and the inherent frequency is shown in the following <xref ref-type="table" rid="table1">Table 1</xref>, among them, the constraint of the battery box is the limit of all degrees of freedom around the supporting pin hole.</p><p>From the above table, we can draw the following conclusion.</p><p>Electric vehicle battery box structure of the natural frequencies are obtained numerically smaller, explain the mechanism of low stiffness, high flexibility, good toughness, can well absorb the seismic energy and the energy produced by the surface of the battery box, the mechanism has high reliability; load corresponding numerical order natural frequency difference is bigger can see differences load corresponding numerical order natural frequency difference is bigger, which indicates that the mechanism of the shape of natural frequency has certain influence.</p></sec><sec id="s3_2"><title>3.2. Modal Calculation Results</title><p>In the course of modal calculation, the maximum deformation of each mode is obtained. The maximum amount of deformation that nominal amplitude, it cannot directly said the maximum deformation of the structure of objects, but it reflects the structure of objects in the order type of vibration of maximum deformation position and orientation, here only according to the larger regional deformation were analyzed [<xref ref-type="bibr" rid="scirp.66731-ref6">6</xref>] .</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref> shows the mode shapes of the electric vehicle battery box deformation nephogram, the specific deformation trend: first order vibration type mainly for the battery box around Z axis downward deflection, the maximum deformation is 1.085 mm; second order vibration mode mainly for the battery box around the Z axis deflection, maximum deformation is 1.120 mm; third order vibration model of the battery box around the X axis deflection, maximum deformation is 1.238 mm; fourth order vibration type of performance for the battery box around the Y axis deflection, maximum deformation is 1.325 mm.</p><p>When the battery box is in the steady state vibration, the displacement time curve of the center node is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>Through the contrast of the battery box vibration type can draw the following conclusions: every order natural frequencies corresponding to different conditions although with different numerical size but the overall deformation tendency is consistent; battery box has larger deformation, indicating the material stiffness is not enough, although the strength of materials to meet the conditions, but in the actual work may cause to the resonance of deformation, when design need to strengthen the stiffness; battery box base structure deformation is high and the rigidity is small, larger resonance failure occurs.</p></sec></sec><sec id="s4"><title>4. Conclusions</title><p>In this paper, we introduced the flow of finite element modal analysis, and established the finite element model of the dynamic battery box structure, and the results were obtained by the modal analysis of the battery box:</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Theoretical calculation of the first 4 order modes of the battery box</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Order</th><th align="center" valign="middle" >Frequency/Hz</th><th align="center" valign="middle" >Vibration position</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >27.77</td><td align="center" valign="middle" >cover</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >46.62</td><td align="center" valign="middle" >cover</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >53.30</td><td align="center" valign="middle" >surround</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >61.44</td><td align="center" valign="middle" >surround</td></tr></tbody></table></table-wrap><p>1) The external loads had little effect on the results of modal calculation, and analyze the reasons produced the error, illustrated that the modal parameters only influenced by the fixed parameters of electric vehicle battery box structure’s shape and material properties.</p><p>2) The base structure of the whole electric vehicle power battery box was not enough, when the resonance phenomenon occurred, it would produce large deformation and damage, which needed to strengthen the rigidity of</p><fig-group id="fig1"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Vibration deformation cloud.</title></caption><fig id ="fig1_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/18-1560320x18.png"/></fig><fig id ="fig1_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/18-1560320x19.png"/></fig></fig-group><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> The displacement time curve of the center node of the top cover of the battery box</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/18-1560320x20.png"/></fig><p>these parts in the design process. It provided a reliable basis for the optimization design of the structure of the battery box.</p></sec><sec id="s5"><title>Cite this paper</title><p>Jianong Wang,Xiaoyu Zhao, (2016) Modal Analysis of Battery Box Based on ANSYS. World Journal of Engineering and Technology,04,290-295. doi: 10.4236/wjet.2016.42029</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.66731-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Hu, X. (2015) Finite Element Simulation and Modal Analysis of Power Battery Box for Electric Vehicle. Hunan University, Changsha.</mixed-citation></ref><ref id="scirp.66731-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Hartmann, M., Roschitz, M. and Khalil, Z. (2013) Enhanced Battery Pack for Electric Vehicle: Noise, Reduction and Increased Stiffness. Materials Science Forum, 765, 818-822.  
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