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The time and frequency response, phase portraits, and basin of attraction are plotted to study the system response along with the stability and bifurcations. Further, the different muscle parameters are evaluated by performing experiments which are further used for numerically evaluating the system response using the theoretically obtained closed form equations. The responses obtained from the experiments are found to be in good agreement with those obtained from the method of multiple scales. With the help of examples, the procedure to obtain the safe operating range of different system parameters is illustrated. <\/jats:p>","DOI":"10.1142\/s0218127423300082","type":"journal-article","created":{"date-parts":[[2023,4,5]],"date-time":"2023-04-05T09:36:56Z","timestamp":1680687416000},"source":"Crossref","is-referenced-by-count":1,"title":["Parametrically Excited Nonlinear Pneumatic Artificial Muscle Under Hard Excitation: A Theoretical and Experimental Investigation"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8361-9308","authenticated-orcid":false,"given":"Bhaben","family":"Kalita","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Virginia Tech., Blacksburg, Virginia 24060, USA"},{"name":"Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India"}]},{"given":"Santosha K.","family":"Dwivedy","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India"}]}],"member":"219","published-online":{"date-parts":[[2023,4,5]]},"reference":[{"key":"S0218127423300082BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410028124"},{"key":"S0218127423300082BIB002","doi-asserted-by":"crossref","first-page":"106976","DOI":"10.1016\/j.ymssp.2020.106976","volume":"146","author":"Chen Y.","year":"2021","journal-title":"Mech. 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