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All Journal PROSIDING SEMINAR NASIONAL Berkala Fisika Indonesia : Jurnal Ilmiah Fisika, Pembelajaran dan Aplikasinya TARBIYA : Journal Education in Muslim Society Jurnal Pendidikan Fisika FKIP UM Metro Phi : Jurnal Pendidikan Fisika dan Terapan Jurnal Fisika Unand JFA (Jurnal Fisika dan Aplikasinya) Edufisika: Jurnal Pendidikan Fisika JOURNAL ONLINE OF PHYSICS Jurnal Penelitian Pembelajaran Fisika Journal of ICSAR Journal of Geoscience, Engineering, Environment, and Technology International Journal of Science and Applied Science: Conference Series Jurnal Pendidikan Informatika dan Sains JIPFRI (Jurnal Inovasi Pendidikan Fisika dan Riset Ilmiah) JIPF (Jurnal Ilmu Pendidikan Fisika) Journal of Physics: Theories and Applications Prosiding SNFA (Seminar Nasional Fisika dan Aplikasinya) Al-MARSHAD: Jurnal Astronomi Islam dan Ilmu-Ilmu Berkaitan Spektra: Jurnal Fisika dan Aplikasinya SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Journal of Physics and Its Applications Jurnal Pendidikan Fisika dan Teknologi Jurnal Kumparan Fisika Indonesian Review of Physics (IRiP) Jurnal Fisika Indonesia Indonesian Journal of Electrical Engineering and Computer Science Navigation Physics : Journal of Physics Education Jurnal Penelitian Sains dan Pendidikan (JPSP) Prosiding Seminar Nasional Program Pengabdian Masyarakat Jurnal Materi dan Pembelajaran Fisika PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Engineering Science Letter Journal of Novel Engineering Science and Technology Bincang Sains dan Teknologi JIPFRI (Jurnal Inovasi Pendidikan Fisika dan Riset Ilmiah)
Yudhiakto Pramudya
Universitas Ahmad Dahlan
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Journal : JOURNAL ONLINE OF PHYSICS

 1 
STUDY OF SIMILARITY PATTERN OF CHLADNI PLATE VIBRATIONS OF CIRCULAR AND SQUARE GEOMETRY USING SSIM Wako, Mohamed Yusuf; Pramudya, Yudhiakto; Handayani, Dwi Nova Siti
JOURNAL ONLINE OF PHYSICS Vol. 11 No. 2 (2026): JOP (Journal Online of Physics) Vol 11 No 2
Publisher : Prodi Fisika FST UNJA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jop.v11i2.52531

Abstract

Chladni patterns are formed on plates excited at resonant frequencies and can be observed through the arrangement of particles on the plate surface. This study investigates the structural similarity between numerical and experimental Chladni patterns for circular and square plates using the Structural Similarity Index Measure (SSIM). Numerical vibration mode shapes for circular plates, namely modes (0,1) and (0,2), were obtained by solving the Helmholtz equation using Bessel functions in polar coordinates. Square plate modes (2,1) and (2,2) were modeled using Fourier cosine approximations to the biharmonic plate equation under free-edge boundary conditions. Experimental images were obtained from the Physics Demonstration Archive of the University of California, Santa Barbara, and were preprocessed to match the simulated patterns in terms of grayscale representation, resolution and contrast. Image comparison was performed using Python with the NumPy, SciPy, OpenCV and scikit-image libraries. The SSIM values for corresponding modes indicate a high level of similarity, reaching 0.9326 and 0.9103 for circular plates, and 0.9026 and 0.7517 for square plates, indicating strong structural agreement. Cross-mode comparisons produced significantly lower similarity values for circular plates, but relatively higher values for square plates due to shared Cartesian symmetry. The results demonstrate that SSIM is an effective metric for validating theoretical vibration models and quantifying modal similarity, while providing a practical image-based approach for Chladni pattern analysis.  
Co-Authors Aan Suciarahmat Abdul Muis Habib Abu Yazid Raisal Ade Anggraini Adi Jufriansah Afriyanto, Mulya Alip, Isma Andriyani Andriyani Anggraini, Ade Anisatur Rofiqah, Siti Arfiani Nur Khusna Azmi Khusnani Bayu Nugroho Bayu Nugroho Betty Mauli Rosa Bustam Budi Utama Buliali, Joko Lianto Deidra Robertha Anggraeny Noel Desi Susanti Deti, Maria Dina Rahmah Maulida, Dina Rahmah Donuata, Pujianti Bejahida Dwi Nova Siti Handayani Dwi Nova Siti Handayani Edwin Ariesto Umbu Malahina Eka Syafutri Feri Iskandar Firaina, Radha Habib, Abdul Muis Hamzarudin Hikmatiar Handayani, Dwi Nova Siti Hasbullah Hasbullah Hayyuningtias, Riza hikmatiar, hamzarudin Ishafit Ishafit Ishafit Jauhari Isma Alip Jauhari, Ishafit Kabul Setiya Budi Konsenius Wiran Wae Lazwardi, Ahmad Leto, Kristina Theresia Lukmanul Hakim Lukmanul Hakim M. Burhanuddin Latief M. Khairul Ardi Mahfudz, Khawarizmy Margiono Marini Amalia Ocvianti Moh. Irma Sukarelawan Moh. Toifur Muchlas , Muchlas - Muchlas Muchlas Muchlas Muchlas Mulya Afriyanto Mustofa Ahyar Mustofa Ahyar Nur Hamida Siregar Nur Ikhwan Nurfitni, Diana Nurrahman, Arip Okimustava Okimustava Okimustava Okimustava Raharja, Endra Putra Rahmatul Bayyinah, Rahmatul Reza Ariefka Ricka Tanzilla Ricka Tanzilla Riza Hayyuningtias Rizky Bayu Kurniawan Sabarudin Saputra Saharul Saharul Saharul, Saharul Sahlan Sahlan Samana, Fazaki Ramadhani Anwar Saumarachmawati, Putri Ani Servia Shalihin, Rahmat Ryadhush Sina, Tuti Asmianti Siregar, Nur Hamida Siswoyo, Wuryanto Puji Suparwoto Suparwoto Suparwoto Suparwoto Suparwoto Suparwoto Suyadi Suyadi Syafutri, Eka Sya’bania, Nursina Tanzilla, Ricka Ulinnuha Yudiansa Putra Wae, Konsenius Wiran Wahab, Dedi Suwandi Wahyu Saputra Wahyu Saputra Wako, Mohamed Yusuf Wandira, Cintha Ayu Widodo Widodo Widodo Widodo Yohakim, Yoman Ribeta Ratu Yoky Novra Silta Yoman Ribeta Ratu Yohakim Z. Zulfakriza Zulfakriza, Zulfakriza