{"id":3036,"date":"2024-07-28T21:18:41","date_gmt":"2024-07-29T04:18:41","guid":{"rendered":"https:\/\/gantovnik.com\/bio-tips\/?p=3036"},"modified":"2024-07-28T21:22:26","modified_gmt":"2024-07-29T04:22:26","slug":"443-vibration-double-amplitude","status":"publish","type":"post","link":"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/443-vibration-double-amplitude\/","title":{"rendered":"#443 Vibration Double Amplitude"},"content":{"rendered":"<p style=\"text-align: right;\">&#8220;If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration.&#8221;<br \/>\n(Nikola Tesla)<\/p>\n<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/443-vibration-double-amplitude\/ex483\/\" rel=\"attachment wp-att-3037\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483.png?resize=996%2C395&#038;ssl=1\" alt=\"\" width=\"996\" height=\"395\" class=\"alignnone size-full wp-image-3037\" srcset=\"https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483.png 996w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483-980x389.png 980w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483-480x190.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 996px, 100vw\" \/><\/a><\/p>\n<a href='https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/2024_07_13_Vibration_Double_Amplitude.pdf' class='small-button smallblue' target=\"_blank\">Full Article pdf<\/a>\n<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/443-vibration-double-amplitude\/ex483_2\/\" rel=\"attachment wp-att-3038\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png?resize=912%2C617&#038;ssl=1\" alt=\"\" width=\"912\" height=\"617\" class=\"alignnone size-full wp-image-3038\" srcset=\"https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png 912w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2-480x325.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 912px, 100vw\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration.&#8221; (Nikola Tesla)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_lmt_disableupdate":"yes","_lmt_disable":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[38,40,51,112],"tags":[138,52,113],"class_list":["post-3036","post","type-post","status-publish","format-standard","hentry","category-engineering","category-mechanics","category-strength-of-materials","category-vibration","tag-mechanics","tag-strength-of-materials","tag-vibration"],"modified_by":"gantovnik","jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8bH0k-MY","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":6974,"url":"https:\/\/gantovnik.com\/bio-tips\/2025\/01\/456-approximate-harmonic-response-damping-extraction\/","url_meta":{"origin":3036,"position":0},"title":"#456 Approximate Harmonic Response &#038; Damping Extraction","author":"gantovnik","date":"2025-01-05","format":false,"excerpt":"","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=1050%2C600&ssl=1 3x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2025\/01\/ex456_1-1.png?resize=1400%2C800&ssl=1 4x"},"classes":[]},{"id":2865,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/439-relative-accelerometer-displacement-during-sine-vibration\/","url_meta":{"origin":3036,"position":1},"title":"#439 Relative Accelerometer Displacement During Sine Vibration","author":"gantovnik","date":"2024-07-20","format":false,"excerpt":"\"If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration.\" (Nikola Tesla) import math import numpy as np import matplotlib.pyplot as plt from scipy.optimize import fmin pi=math.pi f=6.0 # f, Hz T=1\/f #T, s omega=2.0*pi*f # Hz g=386.100 # in\/s^2 def func_a(angle,a0,phase):\u2026","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex439_abstract.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex439_abstract.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex439_abstract.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex439_abstract.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":5098,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/10\/448-torque-peaking-due-to-viscus-damper-deadband\/","url_meta":{"origin":3036,"position":2},"title":"#448 Torque Peaking Due to Viscus Damper Deadband","author":"gantovnik","date":"2024-10-19","format":false,"excerpt":"","rel":"","context":"In &quot;vibration&quot;","block_context":{"text":"vibration","link":"https:\/\/gantovnik.com\/bio-tips\/category\/vibration\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/10\/ex448_a.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/10\/ex448_a.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/10\/ex448_a.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/10\/ex448_a.png?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/10\/ex448_a.png?resize=1050%2C600&ssl=1 3x"},"classes":[]},{"id":4043,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/09\/446-mechanical-vibrations-of-a-material-point\/","url_meta":{"origin":3036,"position":3},"title":"#446 Mechanical vibrations of a material point","author":"gantovnik","date":"2024-09-01","format":false,"excerpt":"import numpy as np import matplotlib.pyplot as plt from scipy.integrate import odeint import math def y(t): y=np.exp(-4*t) * (1 - np.cos(t) + (np.cos(1.0)-1)\/np.sin(1.0)*np.sin(t)) return y plt.rcParams[\"figure.figsize\"] = [5.50, 5.50] plt.rcParams[\"figure.autolayout\"] = True t = np.linspace(0, 1, 100) plt.plot(t, y(t)) plt.grid() plt.xlabel('t') plt.ylabel('y(t)') plt.savefig(\"ex446.png\", dpi=100) plt.show()","rel":"","context":"In &quot;differential equations&quot;","block_context":{"text":"differential equations","link":"https:\/\/gantovnik.com\/bio-tips\/category\/differential-equations\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/09\/ex446.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/09\/ex446.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/09\/ex446.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":2208,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/06\/430-damped-harmonic-oscillator-using-python\/","url_meta":{"origin":3036,"position":4},"title":"#430 Damped harmonic oscillator using python","author":"gantovnik","date":"2024-06-03","format":false,"excerpt":"","rel":"","context":"In &quot;differential equations&quot;","block_context":{"text":"differential equations","link":"https:\/\/gantovnik.com\/bio-tips\/category\/differential-equations\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/06\/ex430.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/06\/ex430.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/06\/ex430.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":1893,"url":"https:\/\/gantovnik.com\/bio-tips\/2023\/07\/364-current-bibliography-of-mechanics-of-composite-materials\/","url_meta":{"origin":3036,"position":5},"title":"#364 Current Bibliography of Mechanics of Composite Materials","author":"gantovnik","date":"2023-07-17","format":false,"excerpt":"Current Bibliography of Mechanics of Composite Materials:","rel":"","context":"In 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