<?xml version="1.0" encoding="utf-8"?>
<journal>
<title>The International Journal of Railway Research</title>
<title_fa>عنوان نشریه</title_fa>
<short_title>IJRARE</short_title>
<subject>Engineering &amp; Technology</subject>
<web_url>http://ijrare.iust.ac.ir</web_url>
<journal_hbi_system_id>18</journal_hbi_system_id>
<journal_hbi_system_user>agent2</journal_hbi_system_user>
<journal_id_issn>2423-3838</journal_id_issn>
<journal_id_issn_online>2423-382X</journal_id_issn_online>
<journal_id_pii></journal_id_pii>
<journal_id_doi></journal_id_doi>
<journal_id_iranmedex></journal_id_iranmedex>
<journal_id_magiran></journal_id_magiran>
<journal_id_sid></journal_id_sid>
<journal_id_nlai></journal_id_nlai>
<journal_id_science></journal_id_science>
<language>en</language>
<pubdate>
	<type>jalali</type>
	<year>1404</year>
	<month>10</month>
	<day>1</day>
</pubdate>
<pubdate>
	<type>gregorian</type>
	<year>2026</year>
	<month>1</month>
	<day>1</day>
</pubdate>
<volume>13</volume>
<number>1</number>
<publish_type>online</publish_type>
<publish_edition>1</publish_edition>
<article_type>fulltext</article_type>
<articleset>
	<article>


	<language>en</language>
	<article_id_doi></article_id_doi>
	<title_fa></title_fa>
	<title>Train–Track Dynamic Interaction Investigation into Articulated Train Via the Fourth-Order Runge-Kutta Method</title>
	<subject_fa>Railway track and structures</subject_fa>
	<subject>Railway track and structures</subject>
	<content_type_fa>پژوهشي</content_type_fa>
	<content_type>Research</content_type>
	<abstract_fa></abstract_fa>
	<abstract>&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size:10.0pt&quot;&gt;&lt;span style=&quot;line-height:115%&quot;&gt;&lt;span style=&quot;font-family:&amp;quot;Times New Roman&amp;quot;,serif&quot;&gt;Dynamic analysis of train&amp;ndash;track interaction is crucial for the safety and reliability of railway systems. In this context, trains equipped with Jacobs bogies have gained significant attention due to their potential for weight reduction and improved stability at high speeds. However, the specific configuration where adjacent cars share a single bogie, directly influences the dynamic response of the entire system. In this study, a finite element numerical model comprising a two-car train (with 16-DOF) and a three-layer ballasted track was developed. The equations of motion were solved and validated using the fourth-order Runge&amp;ndash;Kutta (RK4) method in both MATLAB and Python environments. Subsequently, sensitivity analyses were conducted on ballast stiffness (&lt;i&gt;K&lt;sub&gt;B&lt;/sub&gt;&lt;/i&gt;) and rail pad stiffness (&lt;i&gt;K&lt;sub&gt;P&lt;/sub&gt;&lt;/i&gt;) to evaluate the time-domain dynamic behavior of the system.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt; &lt;span style=&quot;font-size:10.0pt&quot;&gt;&lt;span style=&quot;line-height:115%&quot;&gt;&lt;span style=&quot;font-family:&amp;quot;Times New Roman&amp;quot;,serif&quot;&gt;Results indicate that dynamic forces induced by the Jacobs bogie are approximately 68% higher than those of conventional end bogies. Sensitivity analysis shows that increasing the ballast stiffness from 60 to 100 MN/m and the rail pad stiffness from 50 to 250 MN/m leads to a 17.8% and 30.4% reduction in the maximum vertical rail displacement, respectively. Moreover, a comparison of computational performance reveals that the model execution time in MATLAB is approximately 1.43 times faster than in Python.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;</abstract>
	<keyword_fa></keyword_fa>
	<keyword>Train-Track Dynamic, Interaction, Articulated Train, Fourth-Order Runge-Kutta (RK4) Method, Ballast Stiffness, Rail Pad Stiffness.</keyword>
	<start_page>52</start_page>
	<end_page>70</end_page>
	<web_url>http://ijrare.iust.ac.ir/browse.php?a_code=A-10-384-1&amp;slc_lang=en&amp;sid=1</web_url>


<author_list>
	<author>
	<first_name>Sajad </first_name>
	<middle_name></middle_name>
	<last_name>Azizi</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email></email>
	<code>180031947532846003033</code>
	<orcid>180031947532846003033</orcid>
	<coreauthor>Yes
</coreauthor>
	<affiliation>School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>Omid </first_name>
	<middle_name></middle_name>
	<last_name>Gharaati</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email></email>
	<code>180031947532846003034</code>
	<orcid>180031947532846003034</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>Seyed Ali </first_name>
	<middle_name></middle_name>
	<last_name>Mosayebi</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email></email>
	<code>180031947532846003035</code>
	<orcid>180031947532846003035</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>soheila</first_name>
	<middle_name></middle_name>
	<last_name>elhamiyan</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email></email>
	<code>180031947532846003036</code>
	<orcid>180031947532846003036</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


</author_list>


	</article>
</articleset>
</journal>
