[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-656802-105":59,"doc-detail-656802-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","mechanical-systems-chapter-3","Mechanical Systems - Chapter 3","","This document provides an introductory overview of modeling mechanical systems, focusing on idealized elements such as springs, masses, and dampers. It outlines fundamental concepts including inductive and capacitive storage, energy dissipation, and the specific behavioral characteristics of translational and rotational springs. The content details mathematical representations for springs in both series and parallel configurations, offering essential theoretical foundations for system dynamics and control engineering analysis. Through structured agendas and technical classifications, the material serves as a pedagogical resource for understanding the physical principles governing mechanical energy storage and conversion in dynamic systems, facilitating further simulation and case study applications in robotic and mechanical design environments.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mechanical-systems-chapter-3/656802/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mechanical-systems-chapter-3/656802.png","ImageObject",300,407,{"name":92,"@type":93},"Tirek","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-25",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the three main types of idealized modeling elements discussed?","Question",{"text":112,"@type":113},"The document identifies inductive storage, capacitive storage, and energy dissipators as the primary idealized elements used in modeling.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the equivalent stiffness calculated for springs in parallel?",{"text":117,"@type":113},"For springs in a parallel configuration, the equivalent stiffness (KEQ) is the sum of the individual stiffness values: KEQ = K1 + K2.",{"name":119,"@type":110,"acceptedAnswer":120},"What defines a spring as a stiffness element in mechanical modeling?",{"text":121,"@type":113},"A spring is characterized as a stiffness element because it specifically stores potential energy within a mechanical system.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},656802,1793073585,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},5909896572756,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Modeling Mechanical Systems  \nDr. Nhut Ho  \nME584  \nAgenda  \n• Idealized Modeling Elements  \n• Modeling Method and Examples  \n• Lagrange’s Equation  \n• Case study: Feasibility Study of a Mobile Robot Design  \n• Matlab Simulation Example  \n• Active learning: Pair-share exercises, case study  \nchp3 3  \nIdealized Modeling Elements  \nInductive storage  \nElectrical inductance  \nTranslational spring  \nRotational spring  \nFluid inertia  \nCapacitive Storage  \nElectrical capacitance  \nTranslational mass  \nRotational mass  \nEnergy dissipators  \nElectrical resistance  \nTranslational damper  \nRotational damper  \nSprings  \n-Stiffness Element  \n-Stores potential energy  \nActual Spring Behavior  \nSpring Connections  \n• Spring in series: KEQ =K 1 K2/(K 1 +K2 )  \n• Spring in parallel: KEQ =K 1 +K2  \nDampers and Mass","cbCaiv4uQUsJ9Jfo","https://ap.wps.com/l/cbCaiv4uQUsJ9Jfo","pdf",1190035,39,"English","# Idealized Modeling Elements\n## Energy Storage and Dissipation\n## Spring Behavior and Connections","[{\"question\":\"What are the three main types of idealized modeling elements discussed?\",\"answer\":\"The document identifies inductive storage, capacitive storage, and energy dissipators as the primary idealized elements used in modeling.\"},{\"question\":\"How is the equivalent stiffness calculated for springs in parallel?\",\"answer\":\"For springs in a parallel configuration, the equivalent stiffness (KEQ) is the sum of the individual stiffness values: KEQ = K1 + K2.\"},{\"question\":\"What defines a spring as a stiffness element in mechanical modeling?\",\"answer\":\"A spring is characterized as a stiffness element because it specifically stores potential energy within a mechanical system.\"}]","Mechanical Systems - Chapter 3 | PDF",1792971014,98]